22413600 has 216 divisors, whose sum is σ = 86525712. Its totient is φ = 5414400.

The previous prime is 22413581. The next prime is 22413613. The reversal of 22413600 is 631422.

It is a happy number.

22413600 is a `hidden beast` number, since 22 + 41 + 3 + 600 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79059 + ... + 79341.

It is an arithmetic number, because the mean of its divisors is an integer number (400582).

Almost surely, 2^22413600 is an apocalyptic number.

22413600 is a gapful number since it is divisible by the number (20) 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 22413600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43262856).

22413600 is an abundant number, since it is smaller than the sum of its proper divisors (64112112).

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

22413600 is a wasteful number, since it uses less digits than its factorization.

22413600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 304 counting only the distinct ones).

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

The square root of 22413600 is about 4734.3003706989. The cubic root of 22413600 is about 281.9489873019.

It can be divided in two parts, 224 and 13600, that added together give a cube (13824 = 24³).

The spelling of 22413600 in words is "twenty-two million, four hundred thirteen thousand, six hundred".