113224000 has 56 divisors (see below), whose sum is σ = 280419048. Its totient is φ = 45286400.

The previous prime is 113223911. The next prime is 113224019. The reversal of 113224000 is 422311.

It can be written as a sum of positive squares in 4 ways, for example, as 8202496 + 105021504 = 2864^2 + 10248^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 924 + ... + 15076.

It is an arithmetic number, because the mean of its divisors is an integer number (5007483).

Almost surely, 2^113224000 is an apocalyptic number.

113224000 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 113224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140209524).

113224000 is an abundant number, since it is smaller than the sum of its proper divisors (167195048).

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

113224000 is an equidigital number, since it uses as much as digits as its factorization.

113224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14180 (or 14160 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 113224000 is about 10640.6766702123. The cubic root of 113224000 is about 483.7780554697.

Adding to 113224000 its reverse (422311), we get a palindrome (113646311).

The spelling of 113224000 in words is "one hundred thirteen million, two hundred twenty-four thousand".