22641800 has 24 divisors (see below), whose sum is σ = 52642650. Its totient is φ = 9056640.

The previous prime is 22641793. The next prime is 22641803. The reversal of 22641800 is 814622.

It can be written as a sum of positive squares in 3 ways, for example, as 19731364 + 2910436 = 4442^2 + 1706^2 .

It is a super-2 number, since 2×22641800² = 1025302214480000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (22641803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56405 + ... + 56804.

Almost surely, 2^22641800 is an apocalyptic number.

22641800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22641800 is an abundant number, since it is smaller than the sum of its proper divisors (30000850).

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

22641800 is a wasteful number, since it uses less digits than its factorization.

22641800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113225 (or 113216 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 22641800 is about 4758.3400466970. The cubic root of 22641800 is about 282.9026289563.

The spelling of 22641800 in words is "twenty-two million, six hundred forty-one thousand, eight hundred".