22483680 has 96 divisors (see below), whose sum is σ = 73156608. Its totient is φ = 5798400.

The previous prime is 22483663. The next prime is 22483687. The reversal of 22483680 is 8638422.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22483687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14125 + ... + 15635.

It is an arithmetic number, because the mean of its divisors is an integer number (762048).

Almost surely, 2^22483680 is an apocalyptic number.

22483680 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 22483680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36578304).

22483680 is an abundant number, since it is smaller than the sum of its proper divisors (50672928).

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

22483680 is a wasteful number, since it uses less digits than its factorization.

22483680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 22483680 is about 4741.6958991483. The cubic root of 22483680 is about 282.2425356748.

The spelling of 22483680 in words is "twenty-two million, four hundred eighty-three thousand, six hundred eighty".