22530100 has 72 divisors (see below), whose sum is σ = 53668440. Its totient is φ = 8171520.

The previous prime is 22530097. The next prime is 22530107. The reversal of 22530100 is 103522.

It can be written as a sum of positive squares in 12 ways, for example, as 646416 + 21883684 = 804^2 + 4678^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22530107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49072 + ... + 49528.

It is an arithmetic number, because the mean of its divisors is an integer number (745395).

Almost surely, 2^22530100 is an apocalyptic number.

22530100 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 22530100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26834220).

22530100 is an abundant number, since it is smaller than the sum of its proper divisors (31138340).

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

22530100 is a wasteful number, since it uses less digits than its factorization.

22530100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 22530100 is about 4746.5882484159. The cubic root of 22530100 is about 282.4366422773.

Adding to 22530100 its reverse (103522), we get a palindrome (22633622).

The spelling of 22530100 in words is "twenty-two million, five hundred thirty thousand, one hundred".