22055200 has 72 divisors (see below), whose sum is σ = 56715120. Its totient is φ = 8352000.

The previous prime is 22055191. The next prime is 22055207. The reversal of 22055200 is 255022.

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

It is not an unprimeable number, because it can be changed into a prime (22055207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14475 + ... + 15925.

It is an arithmetic number, because the mean of its divisors is an integer number (787710).

Almost surely, 2^22055200 is an apocalyptic number.

22055200 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 22055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28357560).

22055200 is an abundant number, since it is smaller than the sum of its proper divisors (34659920).

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

22055200 is a wasteful number, since it uses less digits than its factorization.

22055200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 22055200 is about 4696.2964131324. The cubic root of 22055200 is about 280.4380897149.

The spelling of 22055200 in words is "twenty-two million, fifty-five thousand, two hundred".