22561280 has 80 divisors (see below), whose sum is σ = 61871040. Its totient is φ = 7729152.

The previous prime is 22561267. The next prime is 22561313. The reversal of 22561280 is 8216522.

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

It is a super-2 number, since 2×22561280² = 1018022710476800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17291 + ... + 18549.

It is an arithmetic number, because the mean of its divisors is an integer number (773388).

Almost surely, 2^22561280 is an apocalyptic number.

22561280 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 22561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30935520).

22561280 is an abundant number, since it is smaller than the sum of its proper divisors (39309760).

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

22561280 is an equidigital number, since it uses as much as digits as its factorization.

22561280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 22561280 is about 4749.8715772113. The cubic root of 22561280 is about 282.5668727270.

The spelling of 22561280 in words is "twenty-two million, five hundred sixty-one thousand, two hundred eighty".