22468200 has 48 divisors (see below), whose sum is σ = 69653280. Its totient is φ = 5991360.

The previous prime is 22468141. The next prime is 22468267. The reversal of 22468200 is 286422.

It is a super-2 number, since 2×22468200² = 1009640022480000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18124 + ... + 19323.

It is an arithmetic number, because the mean of its divisors is an integer number (1451110).

Almost surely, 2^22468200 is an apocalyptic number.

22468200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22468200 is an abundant number, since it is smaller than the sum of its proper divisors (47185080).

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

22468200 is a wasteful number, since it uses less digits than its factorization.

22468200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37466 (or 37457 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 22468200 is about 4740.0632907167. The cubic root of 22468200 is about 282.1777461987.

The spelling of 22468200 in words is "twenty-two million, four hundred sixty-eight thousand, two hundred".