22290560 has 64 divisors (see below), whose sum is σ = 55171800. Its totient is φ = 8601600.

The previous prime is 22290551. The next prime is 22290571. The reversal of 22290560 is 6509222.

It can be written as a sum of positive squares in 4 ways, for example, as 10291264 + 11999296 = 3208^2 + 3464^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×22290560² = 993738130227200, 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, 17960 + ... + 19160.

Almost surely, 2^22290560 is an apocalyptic number.

22290560 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 22290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27585900).

22290560 is an abundant number, since it is smaller than the sum of its proper divisors (32881240).

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

22290560 is a wasteful number, since it uses less digits than its factorization.

22290560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 22290560 is about 4721.2879598686. The cubic root of 22290560 is about 281.4321184256.

Adding to 22290560 its reverse (6509222), we get a palindrome (28799782).

The spelling of 22290560 in words is "twenty-two million, two hundred ninety thousand, five hundred sixty".