22682464 has 48 divisors (see below), whose sum is σ = 51559200. Its totient is φ = 9621504.

The previous prime is 22682431. The next prime is 22682467. The reversal of 22682464 is 46428622.

It is a super-2 number, since 2×22682464² = 1028988346222592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22682467) 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 7 ways as a sum of consecutive naturals, for example, 23952 + ... + 24880.

It is an arithmetic number, because the mean of its divisors is an integer number (1074150).

Almost surely, 2^22682464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22682464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25779600).

22682464 is an abundant number, since it is smaller than the sum of its proper divisors (28876736).

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

22682464 is a wasteful number, since it uses less digits than its factorization.

22682464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1047 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

The square root of 22682464 is about 4762.6110485741. The cubic root of 22682464 is about 283.0718892397.

The spelling of 22682464 in words is "twenty-two million, six hundred eighty-two thousand, four hundred sixty-four".