225290904 has 64 divisors (see below), whose sum is σ = 594604800. Its totient is φ = 70936704.

The previous prime is 225290899. The next prime is 225290927. The reversal of 225290904 is 409092522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253549 + ... + 254435.

It is an arithmetic number, because the mean of its divisors is an integer number (9290700).

Almost surely, 2^225290904 is an apocalyptic number.

225290904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225290904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297302400).

225290904 is an abundant number, since it is smaller than the sum of its proper divisors (369313896).

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

225290904 is a wasteful number, since it uses less digits than its factorization.

225290904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 225290904 is about 15009.6936677602. The cubic root of 225290904 is about 608.4822106547.

The spelling of 225290904 in words is "two hundred twenty-five million, two hundred ninety thousand, nine hundred four".