225443904 has 168 divisors, whose sum is σ = 717182208. Its totient is φ = 62254080.

The previous prime is 225443899. The next prime is 225443917. The reversal of 225443904 is 409344522.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×225443904² = 101649907701522432, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291262 + ... + 292034.

Almost surely, 2^225443904 is an apocalyptic number.

225443904 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 225443904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358591104).

225443904 is an abundant number, since it is smaller than the sum of its proper divisors (491738304).

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

225443904 is a wasteful number, since it uses less digits than its factorization.

225443904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 225443904 is about 15014.7895090141. The cubic root of 225443904 is about 608.6199240283.

The spelling of 225443904 in words is "two hundred twenty-five million, four hundred forty-three thousand, nine hundred four".