225264864 has 48 divisors (see below), whose sum is σ = 645079680. Its totient is φ = 68261760.

The previous prime is 225264863. The next prime is 225264881. The reversal of 225264864 is 468462522.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225264863) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 105604 + ... + 107715.

It is an arithmetic number, because the mean of its divisors is an integer number (13439160).

Almost surely, 2^225264864 is an apocalyptic number.

225264864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225264864 is an abundant number, since it is smaller than the sum of its proper divisors (419814816).

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

225264864 is a wasteful number, since it uses less digits than its factorization.

225264864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213343 (or 213335 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 225264864 is about 15008.8262032712. The cubic root of 225264864 is about 608.4587661703.

It can be divided in two parts, 225264 and 864, that added together give a triangular number (226128 = T₆₇₂).

The spelling of 225264864 in words is "two hundred twenty-five million, two hundred sixty-four thousand, eight hundred sixty-four".