22502880 has 96 divisors (see below), whose sum is σ = 78775200. Its totient is φ = 5999616.

The previous prime is 22502867. The next prime is 22502881. The reversal of 22502880 is 8820522.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22502881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1716 + ... + 6924.

It is an arithmetic number, because the mean of its divisors is an integer number (820575).

Almost surely, 2^22502880 is an apocalyptic number.

22502880 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 22502880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39387600).

22502880 is an abundant number, since it is smaller than the sum of its proper divisors (56272320).

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

22502880 is a wasteful number, since it uses less digits than its factorization.

22502880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5233 (or 5219 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 22502880 is about 4743.7200591940. The cubic root of 22502880 is about 282.3228534116.

The spelling of 22502880 in words is "twenty-two million, five hundred two thousand, eight hundred eighty".