112924224 has 126 divisors (see below), whose sum is σ = 376616214. Its totient is φ = 32256000.

The previous prime is 112924219. The next prime is 112924241. The reversal of 112924224 is 422429211.

It can be written as a sum of positive squares in only one way, i.e., 67765824 + 45158400 = 8232^2 + 6720^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26224 + ... + 30224.

Almost surely, 2^112924224 is an apocalyptic number.

112924224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112924224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188308107).

112924224 is an abundant number, since it is smaller than the sum of its proper divisors (263691990).

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

112924224 is a wasteful number, since it uses less digits than its factorization.

112924224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4033 (or 4013 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 112924224 is about 10626.5810117836. The cubic root of 112924224 is about 483.3507219534.

The spelling of 112924224 in words is "one hundred twelve million, nine hundred twenty-four thousand, two hundred twenty-four".