22202880 has 240 divisors, whose sum is σ = 83967840. Its totient is φ = 4988928.

The previous prime is 22202857. The next prime is 22202891. The reversal of 22202880 is 8820222.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a self number, because there is not a number n which added to its sum of digits gives 22202880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376291 + ... + 376349.

It is an arithmetic number, because the mean of its divisors is an integer number (349866).

Almost surely, 2^22202880 is an apocalyptic number.

22202880 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 22202880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41983920).

22202880 is an abundant number, since it is smaller than the sum of its proper divisors (61764960).

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

22202880 is an equidigital number, since it uses as much as digits as its factorization.

22202880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 22202880 is about 4711.9932088236. The cubic root of 22202880 is about 281.0626287796.

The spelling of 22202880 in words is "twenty-two million, two hundred two thousand, eight hundred eighty".