22552100 has 36 divisors (see below), whose sum is σ = 49410900. Its totient is φ = 8933760.

The previous prime is 22552093. The next prime is 22552157. The reversal of 22552100 is 125522.

It can be written as a sum of positive squares in 6 ways, for example, as 1170724 + 21381376 = 1082^2 + 4624^2 .

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, 9866 + ... + 11934.

It is an arithmetic number, because the mean of its divisors is an integer number (1372525).

Almost surely, 2^22552100 is an apocalyptic number.

22552100 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 22552100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24705450).

22552100 is an abundant number, since it is smaller than the sum of its proper divisors (26858800).

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

22552100 is a wasteful number, since it uses less digits than its factorization.

22552100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 22552100 is about 4748.9051369763. The cubic root of 22552100 is about 282.5285428126.

Adding to 22552100 its reverse (125522), we get a palindrome (22677622).

It can be divided in two parts, 225 and 52100, that added together give a palindrome (52325).

The spelling of 22552100 in words is "twenty-two million, five hundred fifty-two thousand, one hundred".