225105664 has 36 divisors (see below), whose sum is σ = 513526384. Its totient is φ = 96473088.

The previous prime is 225105641. The next prime is 225105679. The reversal of 225105664 is 466501522.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 61017 + ... + 64600.

Almost surely, 2^225105664 is an apocalyptic number.

It is an amenable number.

225105664 is an abundant number, since it is smaller than the sum of its proper divisors (288420720).

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

225105664 is an equidigital number, since it uses as much as digits as its factorization.

225105664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125640 (or 125626 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 225105664 is about 15003.5217199163. The cubic root of 225105664 is about 608.3153949966.

The spelling of 225105664 in words is "two hundred twenty-five million, one hundred five thousand, six hundred sixty-four".