A136887 Numbers n such that n and the square of n use only the digits 0, 2, 3 and 5.

0, 5, 50, 55, 235, 500, 505, 550, 2350, 5000, 5005, 5050, 5055, 5500, 5505, 23500, 50000, 50005, 50050, 50055, 50235, 50500, 50550, 55000, 55005, 55050, 235000, 235235, 500000, 500005, 500050, 500055, 500235, 500500, 500505, 500550, 502350, 505000, 505005, 505500, 505505, 550000, 550005, 550050, 550500, 2350000, 2350005, 2352350, 5000000