22905600 has 108 divisors (see below), whose sum is σ = 75656616. Its totient is φ = 6103040.

The previous prime is 22905599. The next prime is 22905601. The reversal of 22905600 is 650922.

It is an interprime number because it is at equal distance from previous prime (22905599) and next prime (22905601).

It is a super-2 number, since 2×22905600² = 1049333022720000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (22905601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18604 + ... + 19796.

Almost surely, 2^22905600 is an apocalyptic number.

22905600 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 22905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37828308).

22905600 is an abundant number, since it is smaller than the sum of its proper divisors (52751016).

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

22905600 is a wasteful number, since it uses less digits than its factorization.

22905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 22905600 is about 4785.9795235667. The cubic root of 22905600 is about 283.9970904946.

The spelling of 22905600 in words is "twenty-two million, nine hundred five thousand, six hundred".