22640100 has 72 divisors (see below), whose sum is σ = 74870208. Its totient is φ = 5174400.

The previous prime is 22640083. The next prime is 22640113. The reversal of 22640100 is 104622.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22640100.

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, 3291 + ... + 7490.

It is an arithmetic number, because the mean of its divisors is an integer number (1039864).

Almost surely, 2^22640100 is an apocalyptic number.

22640100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22640100 is an abundant number, since it is smaller than the sum of its proper divisors (52230108).

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

22640100 is a wasteful number, since it uses less digits than its factorization.

22640100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10805 (or 10798 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 22640100 is about 4758.1614096203. The cubic root of 22640100 is about 282.8955484459.

Adding to 22640100 its reverse (104622), we get a palindrome (22744722).

The spelling of 22640100 in words is "twenty-two million, six hundred forty thousand, one hundred".