22563200 has 96 divisors (see below), whose sum is σ = 60900120. Its totient is φ = 8192000.

The previous prime is 22563181. The next prime is 22563221. The reversal of 22563200 is 236522.

It is a happy number.

It is a hoax number, since the sum of its digits (20) 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 (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34880 + ... + 35520.

Almost surely, 2^22563200 is an apocalyptic number.

22563200 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 22563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30450060).

22563200 is an abundant number, since it is smaller than the sum of its proper divisors (38336920).

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

22563200 is a wasteful number, since it uses less digits than its factorization.

22563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 22563200 is about 4750.0736836390. The cubic root of 22563200 is about 282.5748881264.

Adding to 22563200 its reverse (236522), we get a palindrome (22799722).

It can be divided in two parts, 22 and 563200, that multiplied together give a square (12390400 = 3520²).

The spelling of 22563200 in words is "twenty-two million, five hundred sixty-three thousand, two hundred".