113932224 has 112 divisors (see below), whose sum is σ = 382828800. Its totient is φ = 32548608.

The previous prime is 113932219. The next prime is 113932229. The reversal of 113932224 is 422239311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (113932219) and next prime (113932229).

It is a tau number, because it is divible by the number of its divisors (112).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113932229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7387 + ... + 16805.

Almost surely, 2^113932224 is an apocalyptic number.

113932224 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 113932224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191414400).

113932224 is an abundant number, since it is smaller than the sum of its proper divisors (268896576).

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

113932224 is an equidigital number, since it uses as much as digits as its factorization.

113932224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9447 (or 9431 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 113932224 is about 10673.9038781507. The cubic root of 113932224 is about 484.7846480777.

The spelling of 113932224 in words is "one hundred thirteen million, nine hundred thirty-two thousand, two hundred twenty-four".