113224400 has 120 divisors (see below), whose sum is σ = 293743104. Its totient is φ = 41817600.

The previous prime is 113224379. The next prime is 113224417. The reversal of 113224400 is 4422311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285002 + ... + 285398.

Almost surely, 2^113224400 is an apocalyptic number.

113224400 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 113224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146871552).

113224400 is an abundant number, since it is smaller than the sum of its proper divisors (180518704).

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

113224400 is a wasteful number, since it uses less digits than its factorization.

113224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 113224400 is about 10640.6954659928. The cubic root of 113224400 is about 483.7786251693.

Adding to 113224400 its reverse (4422311), we get a palindrome (117646711).

The spelling of 113224400 in words is "one hundred thirteen million, two hundred twenty-four thousand, four hundred".