225578772 has 36 divisors (see below), whose sum is σ = 572790400. Its totient is φ = 74853072.

The previous prime is 225578767. The next prime is 225578783. The reversal of 225578772 is 277875522.

225578772 is a `hidden beast` number, since 2 + 2 + 5 + 578 + 7 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its 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 11 ways as a sum of consecutive naturals, for example, 6022 + ... + 22077.

Almost surely, 2^225578772 is an apocalyptic number.

It is an amenable number.

225578772 is an abundant number, since it is smaller than the sum of its proper divisors (347211628).

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

225578772 is a wasteful number, since it uses less digits than its factorization.

225578772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28332 (or 28327 counting only the distinct ones).

The product of its digits is 548800, while the sum is 45.

The square root of 225578772 is about 15019.2800093746. The cubic root of 225578772 is about 608.7412653577.

It can be divided in two parts, 22557 and 8772, that added together give a square (31329 = 177²).

The spelling of 225578772 in words is "two hundred twenty-five million, five hundred seventy-eight thousand, seven hundred seventy-two".