22156800 has 120 divisors (see below), whose sum is σ = 73320456. Its totient is φ = 5898240.

The previous prime is 22156781. The next prime is 22156807. The reversal of 22156800 is 865122.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22156807) 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, 38112 + ... + 38688.

Almost surely, 2^22156800 is an apocalyptic number.

22156800 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 22156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36660228).

22156800 is an abundant number, since it is smaller than the sum of its proper divisors (51163656).

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

22156800 is an equidigital number, since it uses as much as digits as its factorization.

22156800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 22156800 is about 4707.1010186738. The cubic root of 22156800 is about 280.8680543811.

The spelling of 22156800 in words is "twenty-two million, one hundred fifty-six thousand, eight hundred".