22522400 has 72 divisors (see below), whose sum is σ = 56246400. Its totient is φ = 8802560.

The previous prime is 22522363. The next prime is 22522427. The reversal of 22522400 is 422522.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37301 + ... + 37899.

It is an arithmetic number, because the mean of its divisors is an integer number (781200).

Almost surely, 2^22522400 is an apocalyptic number.

22522400 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 22522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28123200).

22522400 is an abundant number, since it is smaller than the sum of its proper divisors (33724000).

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

22522400 is a wasteful number, since it uses less digits than its factorization.

22522400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 22522400 is about 4745.7770701962. Note that the first 3 decimals coincide. The cubic root of 22522400 is about 282.4044629565.

Adding to 22522400 its reverse (422522), we get a palindrome (22944922).

It can be divided in two parts, 22522 and 400, that added together give a palindrome (22922).

The spelling of 22522400 in words is "twenty-two million, five hundred twenty-two thousand, four hundred".