113806224 has 135 divisors (see below), whose sum is σ = 373439547. Its totient is φ = 32260032.

The previous prime is 113806213. The next prime is 113806243. The reversal of 113806224 is 422608311.

The square root of 113806224 is 10668.

It is a perfect power (a square), and thus also a powerful number.

113806224 is a `hidden beast` number, since 1 + 1 + 38 + 0 + 622 + 4 = 666.

It is a super-2 number, since 2×113806224² = 25903713242276352, which contains 22 as substring.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 896049 + ... + 896175.

Almost surely, 2^113806224 is an apocalyptic number.

113806224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

113806224 is the 10668-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113806224

113806224 is an abundant number, since it is smaller than the sum of its proper divisors (259633323).

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

113806224 is a wasteful number, since it uses less digits than its factorization.

113806224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 139 counting only the distinct ones).

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

The cubic root of 113806224 is about 484.6058710383.

Multiplying 113806224 by its product of nonzero digits (2304), we get a square (262209540096 = 512064²).

The spelling of 113806224 in words is "one hundred thirteen million, eight hundred six thousand, two hundred twenty-four".