22430880 has 144 divisors (see below), whose sum is σ = 78800904. Its totient is φ = 5806080.

The previous prime is 22430879. The next prime is 22430893. The reversal of 22430880 is 8803422.

It can be written as a sum of positive squares in 4 ways, for example, as 15397776 + 7033104 = 3924^2 + 2652^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53070 + ... + 53490.

Almost surely, 2^22430880 is an apocalyptic number.

22430880 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 22430880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39400452).

22430880 is an abundant number, since it is smaller than the sum of its proper divisors (56370024).

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

22430880 is a wasteful number, since it uses less digits than its factorization.

22430880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 22430880 is about 4736.1249983504. The cubic root of 22430880 is about 282.0214258656.

The spelling of 22430880 in words is "twenty-two million, four hundred thirty thousand, eight hundred eighty".