113432220 has 144 divisors (see below), whose sum is σ = 382112640. Its totient is φ = 27004800.

The previous prime is 113432219. The next prime is 113432287. The reversal of 113432220 is 22234311.

113432220 is a `hidden beast` number, since 1 + 13 + 432 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 113432193 and 113432202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116335 + ... + 117305.

It is an arithmetic number, because the mean of its divisors is an integer number (2653560).

Almost surely, 2^113432220 is an apocalyptic number.

113432220 is a gapful number since it is divisible by the number (10) 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 113432220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191056320).

113432220 is an abundant number, since it is smaller than the sum of its proper divisors (268680420).

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

113432220 is a wasteful number, since it uses less digits than its factorization.

113432220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 113432220 is about 10650.4563282519. The cubic root of 113432220 is about 484.0744313279.

Adding to 113432220 its reverse (22234311), we get a palindrome (135666531).

The spelling of 113432220 in words is "one hundred thirteen million, four hundred thirty-two thousand, two hundred twenty".