225566912 has 112 divisors (see below), whose sum is σ = 491581440. Its totient is φ = 102451200.

The previous prime is 225566909. The next prime is 225566921. The reversal of 225566912 is 219665522.

Its product of digits (64800) is a multiple of the sum of its prime divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3823139 + ... + 3823197.

It is an arithmetic number, because the mean of its divisors is an integer number (4389120).

Almost surely, 2^225566912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225566912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245790720).

225566912 is an abundant number, since it is smaller than the sum of its proper divisors (266014528).

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

225566912 is a wasteful number, since it uses less digits than its factorization.

225566912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 180 counting only the distinct ones).

The product of its digits is 64800, while the sum is 38.

The square root of 225566912 is about 15018.8851783346. The cubic root of 225566912 is about 608.7305968036.

The spelling of 225566912 in words is "two hundred twenty-five million, five hundred sixty-six thousand, nine hundred twelve".