225015600 has 60 divisors (see below), whose sum is σ = 720803816. Its totient is φ = 60003840.

The previous prime is 225015599. The next prime is 225015617. The reversal of 225015600 is 6510522.

It is a tau number, because it is divible by the number of its divisors (60).

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, 92557 + ... + 94956.

Almost surely, 2^225015600 is an apocalyptic number.

225015600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225015600 is an abundant number, since it is smaller than the sum of its proper divisors (495788216).

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

225015600 is a wasteful number, since it uses less digits than its factorization.

225015600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187534 (or 187523 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 225015600 is about 15000.5199909870. The cubic root of 225015600 is about 608.2342558771.

The spelling of 225015600 in words is "two hundred twenty-five million, fifteen thousand, six hundred".