225626112 has 72 divisors (see below), whose sum is σ = 651702870. Its totient is φ = 75202560.

The previous prime is 225626087. The next prime is 225626131. The reversal of 225626112 is 211626522.

225626112 is a `hidden beast` number, since 2 + 25 + 626 + 1 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 210134016 + 15492096 = 14496^2 + 3936^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12312 + ... + 24552.

Almost surely, 2^225626112 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 225626112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325851435).

225626112 is an abundant number, since it is smaller than the sum of its proper divisors (426076758).

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

225626112 is a wasteful number, since it uses less digits than its factorization.

225626112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12269 (or 12246 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 225626112 is about 15020.8559010464. The cubic root of 225626112 is about 608.7838458948.

The spelling of 225626112 in words is "two hundred twenty-five million, six hundred twenty-six thousand, one hundred twelve".