225315600 has 60 divisors (see below), whose sum is σ = 721764816. Its totient is φ = 60083840.

The previous prime is 225315593. The next prime is 225315611. The reversal of 225315600 is 6513522.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 92682 + ... + 95081.

Almost surely, 2^225315600 is an apocalyptic number.

225315600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225315600 is an abundant number, since it is smaller than the sum of its proper divisors (496449216).

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

225315600 is a wasteful number, since it uses less digits than its factorization.

225315600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187784 (or 187773 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 225315600 is about 15010.5163135716. The cubic root of 225315600 is about 608.5044434322.

The spelling of 225315600 in words is "two hundred twenty-five million, three hundred fifteen thousand, six hundred".