22581984 has 96 divisors (see below), whose sum is σ = 63848736. Its totient is φ = 6963200.

The previous prime is 22581983. The next prime is 22581989. The reversal of 22581984 is 48918522.

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 (22581983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164764 + ... + 164900.

It is an arithmetic number, because the mean of its divisors is an integer number (665091).

Almost surely, 2^22581984 is an apocalyptic number.

22581984 is a gapful number since it is divisible by the number (24) 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 22581984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31924368).

22581984 is an abundant number, since it is smaller than the sum of its proper divisors (41266752).

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

22581984 is a wasteful number, since it uses less digits than its factorization.

22581984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 260 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 22581984 is about 4752.0505047821. The cubic root of 22581984 is about 282.6532814753.

The spelling of 22581984 in words is "twenty-two million, five hundred eighty-one thousand, nine hundred eighty-four".