22681440 has 144 divisors (see below), whose sum is σ = 81572400. Its totient is φ = 5723136.

The previous prime is 22681433. The next prime is 22681457. The reversal of 22681440 is 4418622.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 26946 + ... + 27774.

It is an arithmetic number, because the mean of its divisors is an integer number (566475).

Almost surely, 2^22681440 is an apocalyptic number.

22681440 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 22681440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40786200).

22681440 is an abundant number, since it is smaller than the sum of its proper divisors (58890960).

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

22681440 is a wasteful number, since it uses less digits than its factorization.

22681440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 858 counting only the distinct ones).

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

The square root of 22681440 is about 4762.5035433058. The cubic root of 22681440 is about 283.0676294147.

The spelling of 22681440 in words is "twenty-two million, six hundred eighty-one thousand, four hundred forty".