22182144 has 72 divisors (see below), whose sum is σ = 62546400. Its totient is φ = 6955008.

The previous prime is 22182137. The next prime is 22182169. The reversal of 22182144 is 44128122.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12207 + ... + 13905.

It is an arithmetic number, because the mean of its divisors is an integer number (868700).

Almost surely, 2^22182144 is an apocalyptic number.

22182144 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 22182144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31273200).

22182144 is an abundant number, since it is smaller than the sum of its proper divisors (40364256).

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

22182144 is a wasteful number, since it uses less digits than its factorization.

22182144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1721 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 22182144 is about 4709.7923521107. The cubic root of 22182144 is about 280.9751036482.

The spelling of 22182144 in words is "twenty-two million, one hundred eighty-two thousand, one hundred forty-four".