22108800 has 288 divisors, whose sum is σ = 86512320. Its totient is φ = 4945920.

The previous prime is 22108783. The next prime is 22108811. The reversal of 22108800 is 880122.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 470377 + ... + 470423.

It is an arithmetic number, because the mean of its divisors is an integer number (300390).

Almost surely, 2^22108800 is an apocalyptic number.

22108800 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 22108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43256160).

22108800 is an abundant number, since it is smaller than the sum of its proper divisors (64403520).

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

22108800 is a wasteful number, since it uses less digits than its factorization.

22108800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 22108800 is about 4701.9995746491. Note that the first 3 decimals coincide. The cubic root of 22108800 is about 280.6650856341.

Adding to 22108800 its reverse (880122), we get a palindrome (22988922).

The spelling of 22108800 in words is "twenty-two million, one hundred eight thousand, eight hundred".