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# 224

Please do not rely on any information it contains.

224 is an integer.

## Membership in core sequences

 Even numbers ..., 218, 220, 222, 224, 226, 228, 230, ... A005843 Composite numbers ..., 220, 221, 222, 224, 225, 226, 228, ... A002808 Abundant numbers ..., 216, 220, 222, 224, 228, 234, 240, ... A005101

## Sequences pertaining to 224

 Multiples of 224 224, 448, 672, 896, 1120, 1344, 1568, 1792, 2016, 2240, 2464, 2688, ... Divisors of 224 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224 A018341

## Partitions of 224

There are 29454549941750 partitions of 224.

The Goldbach representations of 216 are 229 + 5 = 227 + 7 = 223 + 11 = 211 + 23 = 197 + 37 = 193 + 41 = 191 + 43 = 181 + 53 = 173 + 61 = 167 + 67 = 163 + 71 = 151 + 83 = 137 + 97 = 131 + 103 = 127 + 107 = 224.

## Roots and powers of 224

In the table below, irrational numbers are given truncated to eight decimal places.

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## Representation of 224 in various bases

 Base 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Representation 11100000 22022 3200 1344 1012 440 340 268 224 194 168 143 120 EE E0 D3 C8 BF B4

 $-1$ 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 1729