22282464 has 24 divisors (see below), whose sum is σ = 58491720. Its totient is φ = 7427456.

The previous prime is 22282453. The next prime is 22282487. The reversal of 22282464 is 46428222.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×22282464² = 993016403822592, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 115959 + ... + 116150.

It is an arithmetic number, because the mean of its divisors is an integer number (2437155).

Almost surely, 2^22282464 is an apocalyptic number.

22282464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22282464 is an abundant number, since it is smaller than the sum of its proper divisors (36209256).

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

22282464 is a wasteful number, since it uses less digits than its factorization.

22282464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232122 (or 232114 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 22282464 is about 4720.4304888432. The cubic root of 22282464 is about 281.3980419625.

The spelling of 22282464 in words is "twenty-two million, two hundred eighty-two thousand, four hundred sixty-four".