225472064 has 28 divisors (see below), whose sum is σ = 451395084. Its totient is φ = 111734784.

The previous prime is 225472033. The next prime is 225472087. The reversal of 225472064 is 460274522.

It can be written as a sum of positive squares in 2 ways, for example, as 71910400 + 153561664 = 8480^2 + 12392^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 225472064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8357 + ... + 22820.

It is an arithmetic number, because the mean of its divisors is an integer number (16121253).

Almost surely, 2^225472064 is an apocalyptic number.

It is an amenable number.

225472064 is an abundant number, since it is smaller than the sum of its proper divisors (225923020).

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

225472064 is a wasteful number, since it uses less digits than its factorization.

225472064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31302 (or 31292 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 225472064 is about 15015.7272218165. The cubic root of 225472064 is about 608.6452636999.

The spelling of 225472064 in words is "two hundred twenty-five million, four hundred seventy-two thousand, sixty-four".