22563400 has 48 divisors (see below), whose sum is σ = 53026740. Its totient is φ = 8928000.

The previous prime is 22563397. The next prime is 22563419. The reversal of 22563400 is 436522.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8259876 + 14303524 = 2874^2 + 3782^2 .

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, 19642 + ... + 20758.

Almost surely, 2^22563400 is an apocalyptic number.

22563400 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 22563400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26513370).

22563400 is an abundant number, since it is smaller than the sum of its proper divisors (30463340).

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

22563400 is a wasteful number, since it uses less digits than its factorization.

22563400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 22563400 is about 4750.0947358974. The cubic root of 22563400 is about 282.5757230376.

Adding to 22563400 its reverse (436522), we get a palindrome (22999922).

The spelling of 22563400 in words is "twenty-two million, five hundred sixty-three thousand, four hundred".