22434880 has 56 divisors (see below), whose sum is σ = 57543192. Its totient is φ = 8282112.

The previous prime is 22434859. The next prime is 22434889. The reversal of 22434880 is 8843422.

It can be written as a sum of positive squares in 4 ways, for example, as 3564544 + 18870336 = 1888^2 + 4344^2 .

It is a super-2 number, since 2×22434880² = 1006647681228800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22434889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1464 + ... + 6856.

It is an arithmetic number, because the mean of its divisors is an integer number (1027557).

Almost surely, 2^22434880 is an apocalyptic number.

22434880 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 22434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28771596).

22434880 is an abundant number, since it is smaller than the sum of its proper divisors (35108312).

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

22434880 is a wasteful number, since it uses less digits than its factorization.

22434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5423 (or 5413 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 22434880 is about 4736.5472656778. The cubic root of 22434880 is about 282.0381887487.

The spelling of 22434880 in words is "twenty-two million, four hundred thirty-four thousand, eight hundred eighty".