22352880 has 80 divisors (see below), whose sum is σ = 75602304. Its totient is φ = 5418240.

The previous prime is 22352879. The next prime is 22352903. The reversal of 22352880 is 8825322.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1594 + ... + 6873.

Almost surely, 2^22352880 is an apocalyptic number.

22352880 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 22352880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37801152).

22352880 is an abundant number, since it is smaller than the sum of its proper divisors (53249424).

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

22352880 is a wasteful number, since it uses less digits than its factorization.

22352880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8494 (or 8488 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 22352880 is about 4727.8832472894. The cubic root of 22352880 is about 281.6941505730.

It can be divided in two parts, 22352 and 880, that added together give a palindrome (23232).

The spelling of 22352880 in words is "twenty-two million, three hundred fifty-two thousand, eight hundred eighty".