225044864 has 32 divisors (see below), whose sum is σ = 489092040. Its totient is φ = 102292480.

The previous prime is 225044863. The next prime is 225044879. The reversal of 225044864 is 468440522.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×225044864³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225044863) 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 3 ways as a sum of consecutive naturals, for example, 78509 + ... + 81324.

Almost surely, 2^225044864 is an apocalyptic number.

It is an amenable number.

225044864 is an abundant number, since it is smaller than the sum of its proper divisors (264047176).

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

225044864 is a wasteful number, since it uses less digits than its factorization.

225044864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159858 (or 159846 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

The square root of 225044864 is about 15001.4953921267. The cubic root of 225044864 is about 608.2606223389.

The spelling of 225044864 in words is "two hundred twenty-five million, forty-four thousand, eight hundred sixty-four".