22713600 has 324 divisors, whose sum is σ = 92764896. Its totient is φ = 4792320.

The previous prime is 22713557. The next prime is 22713611. The reversal of 22713600 is 631722.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1747194 + ... + 1747206.

Almost surely, 2^22713600 is an apocalyptic number.

22713600 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 22713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46382448).

22713600 is an abundant number, since it is smaller than the sum of its proper divisors (70051296).

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

22713600 is a wasteful number, since it uses less digits than its factorization.

22713600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 22713600 is about 4765.8787227541. The cubic root of 22713600 is about 283.2013533722.

Multiplying 22713600 by its sum of digits (21), we get a square (476985600 = 21840²).

22713600 divided by its sum of digits (21) gives a square (1081600 = 1040²).

The spelling of 22713600 in words is "twenty-two million, seven hundred thirteen thousand, six hundred".