112564224 has 144 divisors (see below), whose sum is σ = 337296960. Its totient is φ = 36126720.

The previous prime is 112564217. The next prime is 112564237. The reversal of 112564224 is 422465211.

112564224 is a `hidden beast` number, since 1 + 12 + 5 + 642 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

Its product of digits (3840) is a multiple of the sum of its prime factors (256).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 571294 + ... + 571490.

It is an arithmetic number, because the mean of its divisors is an integer number (2342340).

Almost surely, 2^112564224 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 112564224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168648480).

112564224 is an abundant number, since it is smaller than the sum of its proper divisors (224732736).

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

112564224 is a wasteful number, since it uses less digits than its factorization.

112564224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 233 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 112564224 is about 10609.6288342241. The cubic root of 112564224 is about 482.8365379241.

The spelling of 112564224 in words is "one hundred twelve million, five hundred sixty-four thousand, two hundred twenty-four".