22280880 has 160 divisors (see below), whose sum is σ = 75423744. Its totient is φ = 5419008.

The previous prime is 22280879. The next prime is 22280887. The reversal of 22280880 is 8808222.

It is a super-2 number, since 2×22280880² = 992875227148800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22280887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175377 + ... + 175503.

Almost surely, 2^22280880 is an apocalyptic number.

22280880 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 22280880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37711872).

22280880 is an abundant number, since it is smaller than the sum of its proper divisors (53142864).

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

22280880 is a wasteful number, since it uses less digits than its factorization.

22280880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 22280880 is about 4720.2627045536. The cubic root of 22280880 is about 281.3913738630.

The spelling of 22280880 in words is "twenty-two million, two hundred eighty thousand, eight hundred eighty".