112366224 has 160 divisors (see below), whose sum is σ = 345692160. Its totient is φ = 34860672.

The previous prime is 112366223. The next prime is 112366229. The reversal of 112366224 is 422663211.

112366224 is a `hidden beast` number, since 1 + 1 + 2 + 36 + 622 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (112366223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427117 + ... + 427379.

It is an arithmetic number, because the mean of its divisors is an integer number (2160576).

Almost surely, 2^112366224 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 112366224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172846080).

112366224 is an abundant number, since it is smaller than the sum of its proper divisors (233325936).

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

112366224 is a wasteful number, since it uses less digits than its factorization.

112366224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 334 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 112366224 is about 10600.2935808401. The cubic root of 112366224 is about 482.5532692849.

The spelling of 112366224 in words is "one hundred twelve million, three hundred sixty-six thousand, two hundred twenty-four".