22185800 has 192 divisors, whose sum is σ = 67495680. Its totient is φ = 6589440.

The previous prime is 22185791. The next prime is 22185803. The reversal of 22185800 is 858122.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 22185800.

It is not an unprimeable number, because it can be changed into a prime (22185803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 418574 + ... + 418626.

It is an arithmetic number, because the mean of its divisors is an integer number (351540).

Almost surely, 2^22185800 is an apocalyptic number.

22185800 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 22185800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33747840).

22185800 is an abundant number, since it is smaller than the sum of its proper divisors (45309880).

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

22185800 is a wasteful number, since it uses less digits than its factorization.

22185800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 22185800 is about 4710.1804636341. The cubic root of 22185800 is about 280.9905393150.

The spelling of 22185800 in words is "twenty-two million, one hundred eighty-five thousand, eight hundred".