225365256 has 48 divisors (see below), whose sum is σ = 611055900. Its totient is φ = 75036672.

The previous prime is 225365227. The next prime is 225365263. The reversal of 225365256 is 652563522.

225365256 is a `hidden beast` number, since 22 + 536 + 52 + 56 = 666.

225365256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 223024356 + 2340900 = 14934^2 + 1530^2 .

It is a super-2 number, since 2×225365256² = 101578997223891072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 225365256.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118360 + ... + 120248.

Almost surely, 2^225365256 is an apocalyptic number.

It is an amenable number.

225365256 is an abundant number, since it is smaller than the sum of its proper divisors (385690644).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225365256 is a wasteful number, since it uses less digits than its factorization.

225365256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3558 (or 3551 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 225365256 is about 15012.1702628234. The cubic root of 225365256 is about 608.5491417387.

The spelling of 225365256 in words is "two hundred twenty-five million, three hundred sixty-five thousand, two hundred fifty-six".