22220800 has 156 divisors (see below), whose sum is σ = 65003776. Its totient is φ = 7372800.

The previous prime is 22220791. The next prime is 22220813. The reversal of 22220800 is 802222.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 716785 + ... + 716815.

Almost surely, 2^22220800 is an apocalyptic number.

22220800 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 22220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32501888).

22220800 is an abundant number, since it is smaller than the sum of its proper divisors (42782976).

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

22220800 is an equidigital number, since it uses as much as digits as its factorization.

22220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 22220800 is about 4713.8943560500. The cubic root of 22220800 is about 281.1382238959.

The spelling of 22220800 in words is "twenty-two million, two hundred twenty thousand, eight hundred".