225624264 has 32 divisors (see below), whose sum is σ = 566603520. Its totient is φ = 74869056.

The previous prime is 225624257. The next prime is 225624277. The reversal of 225624264 is 462426522.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15727 + ... + 26430.

It is an arithmetic number, because the mean of its divisors is an integer number (17706360).

Almost surely, 2^225624264 is an apocalyptic number.

225624264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225624264 is an abundant number, since it is smaller than the sum of its proper divisors (340979256).

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

225624264 is a wasteful number, since it uses less digits than its factorization.

225624264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42389 (or 42385 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

The square root of 225624264 is about 15020.7943864497. The cubic root of 225624264 is about 608.7821838005.

The spelling of 225624264 in words is "two hundred twenty-five million, six hundred twenty-four thousand, two hundred sixty-four".