22536000 has 168 divisors, whose sum is σ = 80872584. Its totient is φ = 5990400.

The previous prime is 22535963. The next prime is 22536011. The reversal of 22536000 is 63522.

It can be written as a sum of positive squares in 4 ways, for example, as 6471936 + 16064064 = 2544^2 + 4008^2 .

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

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, 71844 + ... + 72156.

Almost surely, 2^22536000 is an apocalyptic number.

22536000 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 22536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40436292).

22536000 is an abundant number, since it is smaller than the sum of its proper divisors (58336584).

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

22536000 is a wasteful number, since it uses less digits than its factorization.

22536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 22536000 is about 4747.2097067646. The cubic root of 22536000 is about 282.4612941985.

Adding to 22536000 its reverse (63522), we get a palindrome (22599522).

The spelling of 22536000 in words is "twenty-two million, five hundred thirty-six thousand".