225931904 has 64 divisors (see below), whose sum is σ = 519955200. Its totient is φ = 96645120.

The previous prime is 225931889. The next prime is 225931913. The reversal of 225931904 is 409139522.

225931904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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, 19217 + ... + 28655.

It is an arithmetic number, because the mean of its divisors is an integer number (8124300).

Almost surely, 2^225931904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225931904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259977600).

225931904 is an abundant number, since it is smaller than the sum of its proper divisors (294023296).

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

225931904 is a wasteful number, since it uses less digits than its factorization.

225931904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9481 (or 9469 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 225931904 is about 15031.0313684724. The cubic root of 225931904 is about 609.0587508245.

The spelling of 225931904 in words is "two hundred twenty-five million, nine hundred thirty-one thousand, nine hundred four".