The first 20 terms of A224988 are all divisible by 30976. 30976 = 2^8*11^2.
A search was done for terms of the form 2^8*11^2*m with m odd.
Listed below are 177 terms found for A224988 between 2*10^11 and 10^14.

Besides the prime factors 2 and 11, each of the following twelve primes is a factor of > 30 of the 177 terms:
[3, 5, 7, 13, 17, 31, 41, 43, 47, 173, 557, 2309]

Larger terms can be generated using these twelve prime factors.
For example: 867240337436264891972964250841982161621760 is also a term in A224988.
Factorization: 2^8*3^3*5*7*11^2*13*17*23*31*41*43*47*73*83*89*157*191*239*307*557*1487*2309
It is divisible by 30976 and has eleven of the twelve primes as a factor.

Calculated by Donovan Johnson, Apr 28 2013
http://donovanjohnson.com/OEIS/A224988/a224988.txt


243362479360 = 2^8*5*7*11^2*13*31*557
255086523648 = 2^8*3^3*11^2*41*43*173
345972585728 = 2^8*7*11^2*23*173*401
392157801728 = 2^8*7*11^2*17*191*557
395435991808 = 2^8*11^2*13*41*43*557
446676800768 = 2^8*11^2*43*443*757
497209993984 = 2^8*11^2*31*41*73*173
529918233856 = 2^8*11^2*31*239*2309
588749835520 = 2^8*5*7*11^2*43*73*173
630480392960 = 2^8*5*11^2*41*43*2309
636345326848 = 2^8*7*11^2*31*41*2309
891792689920 = 2^8*5*11^2*83*173*401
919497934080 = 2^8*3^3*5*11^2*31*41*173
1030680214784 = 2^8*11^2*31*41*47*557
1220435659520 = 2^8*5*7*11^2*43*47*557
1425408807680 = 2^8*5*11^2*13*31*41*557
1486967784192 = 2^8*3^3*11^2*43*173*239
1610114049280 = 2^8*5*11^2*31*443*757
1652081077504 = 2^8*11^2*13*31*89*1487
1785605665536 = 2^8*3^3*7*11^2*41*43*173
1879139122432 = 2^8*11^2*13*43*47*2309
1980147583744 = 2^8*11^2*17*43*157*557
2026410859264 = 2^8*11^2*23*41*173*401
2296924267264 = 2^8*11^2*17*41*191*557
2305102488832 = 2^8*11^2*13*43*239*557
2740552379136 = 2^8*3^3*11^2*13*31*47*173
2768051942656 = 2^8*7*11^2*13*41*43*557
2898370452736 = 2^8*11^2*31*73*173*239
3126737605376 = 2^8*7*11^2*43*443*757
3247456529152 = 2^8*11^2*17*43*173*829
3448391893760 = 2^8*5*11^2*41*43*73*173
3480469957888 = 2^8*7*11^2*31*41*73*173
3675239363840 = 2^8*5*11^2*43*239*2309
3709427636992 = 2^8*7*11^2*31*239*2309
3948806757632 = 2^8*11^2*47*757*3583
4155617092352 = 2^8*11^2*17*1433*5507
4159542185216 = 2^8*11^2*191*251*2801
4338785924352 = 2^8*3^3*11^2*157*173*191
4413362750720 = 2^8*5*7*11^2*41*43*2309
5058506097920 = 2^8*5*11^2*191*307*557
5360000152320 = 2^8*3^3*5*11^2*31*173*239
5461115728640 = 2^8*5*11^2*13*757*3583
5860334664448 = 2^8*11^2*47*1487*2707
5871156439808 = 2^8*11^2*23*43*83*2309
6008111495936 = 2^8*11^2*31*47*239*557
6061838314752 = 2^8*3^3*11^2*43*73*2309
6107462989056 = 2^8*3^3*11^2*13*17*173*191
6242548829440 = 2^8*5*7*11^2*83*173*401
6436485538560 = 2^8*3^3*5*7*11^2*31*41*173
6726000616192 = 2^8*11^2*13*157*191*557
6773641022720 = 2^8*5*11^2*13*31*47*2309
7137741290240 = 2^8*5*11^2*17*31*157*557
7148266005760 = 2^8*5*11^2*41*43*47*557
7214761503488 = 2^8*7*11^2*31*41*47*557
7494693412096 = 2^8*11^2*31*37*210943
7689866497280 = 2^8*5*11^2*109*173*2633
8104718152960 = 2^8*5*11^2*13*1487*2707
8285002128128 = 2^8*11^2*43*47*89*1487
8295135740672 = 2^8*11^2*17*37*43*9901
8309090366720 = 2^8*5*11^2*13*31*239*557
8562544176384 = 2^8*3^3*11^2*23*31*83*173
8718832655104 = 2^8*11^2*13*19*1139557
9977861653760 = 2^8*5*7*11^2*13*31*41*557
10277889985792 = 2^8*11^2*13*43*47*73*173
10408774489344 = 2^8*3^3*7*11^2*43*173*239
10723888567040 = 2^8*5*11^2*157*191*2309
10915142630656 = 2^8*11^2*17*47*191*2309
11030690235136 = 2^8*11^2*13*173*191*829
11270798344960 = 2^8*5*7*11^2*31*443*757
11457981666560 = 2^8*5*11^2*13*43*89*1487
11564567542528 = 2^8*7*11^2*13*31*89*1487
11705947953920 = 2^8*5*11^2*17*31*173*829
11812492569856 = 2^8*11^2*23*173*239*401
12884685921536 = 2^8*11^2*13*4937*6481
13153973857024 = 2^8*7*11^2*13*43*47*2309
13273684945664 = 2^8*11^2*13*23*31*83*557
13389387801856 = 2^8*11^2*17*191*239*557
13704784194816 = 2^8*3^3*11^2*13*31*73*557
13861033086208 = 2^8*7*11^2*17*43*157*557
14184876014848 = 2^8*7*11^2*23*41*173*401
15095410021120 = 2^8*5*11^2*13*17*191*2309
15278543912192 = 2^8*11^2*31*1607*9901
16051108150528 = 2^8*11^2*17*43*307*2309
16078469870848 = 2^8*7*11^2*17*41*191*557
16135717421824 = 2^8*7*11^2*13*43*239*557
16197062540032 = 2^8*11^2*43*1193*10193
17853189671680 = 2^8*5*11^2*103*173*6469
18313748831488 = 2^8*11^2*41*43*443*757
19007056823040 = 2^8*3^3*5*11^2*13*43*47*173
19183866653952 = 2^8*3^3*7*11^2*13*31*47*173
19627088856320 = 2^8*5*11^2*191*463*1433
20101601527040 = 2^8*5*11^2*43*73*173*239
20288593169152 = 2^8*7*11^2*31*73*173*239
21163470887680 = 2^8*5*11^2*23*31*83*2309
21726647588096 = 2^8*11^2*31*41*239*2309
21850812529920 = 2^8*3^3*5*11^2*31*73*2309
22732195704064 = 2^8*7*11^2*17*43*173*829
23409071794944 = 2^8*3^3*11^2*17*31*173*307
24138743256320 = 2^8*5*7*11^2*41*43*73*173
25726675546880 = 2^8*5*7*11^2*43*239*2309
25779842071808 = 2^8*11^2*31*157*307*557
25874356228864 = 2^8*11^2*13*31*173*11981
27641647303424 = 2^8*7*11^2*47*757*3583
28176227146496 = 2^8*11^2*13*37*191*9901
29089319646464 = 2^8*7*11^2*17*1433*5507
29116795296512 = 2^8*7*11^2*191*251*2801
29864542554880 = 2^8*5*11^2*31*47*89*1487
29901070693120 = 2^8*5*11^2*17*31*37*9901
30371501470464 = 2^8*3^3*7*11^2*157*173*191
32112098171648 = 2^8*11^2*23*43*73*83*173
34858882891008 = 2^8*3^3*11^2*89*173*2707
35409542685440 = 2^8*5*7*11^2*191*307*557
36288822279424 = 2^8*11^2*13*17*31*307*557
36563500286720 = 2^8*5*11^2*41*83*173*401
37048208088320 = 2^8*5*11^2*13*31*47*73*173
37520001066240 = 2^8*3^3*5*7*11^2*31*173*239
38227810100480 = 2^8*5*7*11^2*13*757*3583
41022342651136 = 2^8*7*11^2*47*1487*2707
41098095078656 = 2^8*7*11^2*23*43*83*2309
41669160375040 = 2^8*5*11^2*43*47*239*557
42056780471552 = 2^8*7*11^2*31*47*239*557
42279129668864 = 2^8*11^2*31*173*307*829
42432868203264 = 2^8*3^3*7*11^2*43*73*2309
42752240923392 = 2^8*3^3*7*11^2*13*17*173*191
47082004313344 = 2^8*7*11^2*13*157*191*557
47415487159040 = 2^8*5*7*11^2*13*31*47*2309
48155327111936 = 2^8*11^2*23*73*401*2309
49964189031680 = 2^8*5*7*11^2*17*31*157*557
50037862040320 = 2^8*5*7*11^2*41*43*47*557
51979325277440 = 2^8*5*11^2*37*43*210943
52462853884672 = 2^8*7*11^2*31*37*210943
53829065480960 = 2^8*5*7*11^2*109*173*2633
54038358170368 = 2^8*11^2*13*89*557*2707
54521069135104 = 2^8*11^2*13*191*307*2309
55854717025536 = 2^8*3^3*11^2*13*23*401*557
56733027070720 = 2^8*5*7*11^2*13*1487*2707
57858645658880 = 2^8*5*11^2*17*31*307*2309
57995014896896 = 2^8*7*11^2*43*47*89*1487
58065950184704 = 2^8*7*11^2*17*37*43*9901
58163632567040 = 2^8*5*7*11^2*13*31*239*557
58384760318720 = 2^8*5*11^2*31*1193*10193
58653957866240 = 2^8*5*11^2*73*157*173*191
59385387029760 = 2^8*3^3*5*11^2*23*43*83*173
59700015713536 = 2^8*11^2*17*47*73*173*191
59937809234688 = 2^8*3^3*7*11^2*23*31*83*173
60965679151872 = 2^8*3^3*11^2*41*43*173*239
61031828585728 = 2^8*7*11^2*13*19*1139557
64274025049344 = 2^8*3^3*11^2*83*401*2309
66014676020480 = 2^8*5*11^2*31*41*443*757
66554680628480 = 2^8*5*11^2*17*89*191*1487
66566047829248 = 2^8*11^2*23*43*47*83*557
67735324177664 = 2^8*11^2*13*31*41*89*1487
68727962426112 = 2^8*3^3*11^2*43*47*73*557
71707457628928 = 2^8*11^2*19*43*557*5087
71945229900544 = 2^8*7*11^2*13*43*47*73*173
73761916605696 = 2^8*3^3*11^2*191*557*829
73927764587776 = 2^8*11^2*19*1153*108943
75067219969280 = 2^8*5*7*11^2*157*191*2309
76405998414592 = 2^8*7*11^2*17*47*191*2309
76931267615488 = 2^8*11^2*13*17*31*157*2309
77044704019712 = 2^8*11^2*13*41*43*47*2309
77214831645952 = 2^8*7*11^2*13*173*191*829
80205871665920 = 2^8*5*7*11^2*13*43*89*1487
81186050933504 = 2^8*11^2*17*41*43*157*557
81941635677440 = 2^8*5*7*11^2*17*31*173*829
82563851518720 = 2^8*5*11^2*13*17*73*173*191
82687447988992 = 2^8*7*11^2*23*173*239*401
86158382140160 = 2^8*5*11^2*89*2309*2707
87791011187968 = 2^8*11^2*17*43*73*173*307
89054372056320 = 2^8*3^3*5*11^2*23*401*2309
90192801450752 = 2^8*7*11^2*13*4937*6481
92059427848960 = 2^8*5*11^2*13*23*43*83*557
92915794619648 = 2^8*7*11^2*13*23*31*83*557
93725714612992 = 2^8*7*11^2*17*191*239*557
94509202042112 = 2^8*11^2*13*41*43*239*557
95049309738240 = 2^8*3^3*5*11^2*13*43*73*557
95933489363712 = 2^8*3^3*7*11^2*13*31*73*557