22482144 has 48 divisors (see below), whose sum is σ = 65575440. Its totient is φ = 7493760.

The previous prime is 22482133. The next prime is 22482157. The reversal of 22482144 is 44128422.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12147 + ... + 13874.

It is an arithmetic number, because the mean of its divisors is an integer number (1366155).

Almost surely, 2^22482144 is an apocalyptic number.

22482144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22482144 is an abundant number, since it is smaller than the sum of its proper divisors (43093296).

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

22482144 is a wasteful number, since it uses less digits than its factorization.

22482144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26040 (or 26026 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 22482144 is about 4741.5339290150. The cubic root of 22482144 is about 282.2361082808.

The spelling of 22482144 in words is "twenty-two million, four hundred eighty-two thousand, one hundred forty-four".