225204864 has 32 divisors (see below), whose sum is σ = 598201440. Its totient is φ = 75068160.

The previous prime is 225204857. The next prime is 225204869. The reversal of 225204864 is 468402522.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (225204869) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 292852 + ... + 293619.

It is an arithmetic number, because the mean of its divisors is an integer number (18693795).

Almost surely, 2^225204864 is an apocalyptic number.

225204864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225204864 is an abundant number, since it is smaller than the sum of its proper divisors (372996576).

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

225204864 is an equidigital number, since it uses as much as digits as its factorization.

225204864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586488 (or 586476 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 225204864 is about 15006.8272462903. The cubic root of 225204864 is about 608.4047397425.

The spelling of 225204864 in words is "two hundred twenty-five million, two hundred four thousand, eight hundred sixty-four".