22116480 has 64 divisors (see below), whose sum is σ = 70502400. Its totient is φ = 5897216.

The previous prime is 22116443. The next prime is 22116481. The reversal of 22116480 is 8461122.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22116480.

It is not an unprimeable number, because it can be changed into a prime (22116481) 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, 3840 + ... + 7679.

It is an arithmetic number, because the mean of its divisors is an integer number (1101600).

Almost surely, 2^22116480 is an apocalyptic number.

22116480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22116480 is the 3840-th pentagonal number.

It is an amenable number.

22116480 is an abundant number, since it is smaller than the sum of its proper divisors (48385920).

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

22116480 is a wasteful number, since it uses less digits than its factorization.

22116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11541 (or 11529 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 22116480 is about 4702.8161775685. The cubic root of 22116480 is about 280.6975803619.

The spelling of 22116480 in words is "twenty-two million, one hundred sixteen thousand, four hundred eighty".