22142144 has 56 divisors (see below), whose sum is σ = 46939200. Its totient is φ = 10333440.

The previous prime is 22142117. The next prime is 22142147. The reversal of 22142144 is 44124122.

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

It is not an unprimeable number, because it can be changed into a prime (22142147) 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, 159227 + ... + 159365.

It is an arithmetic number, because the mean of its divisors is an integer number (838200).

Almost surely, 2^22142144 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 22142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23469600).

22142144 is an abundant number, since it is smaller than the sum of its proper divisors (24797056).

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

22142144 is a wasteful number, since it uses less digits than its factorization.

22142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 291 counting only the distinct ones).

The product of its digits is 512, while the sum is 20.

The square root of 22142144 is about 4705.5439643042. The cubic root of 22142144 is about 280.8061123714.

Adding to 22142144 its reverse (44124122), we get a palindrome (66266266).

The spelling of 22142144 in words is "twenty-two million, one hundred forty-two thousand, one hundred forty-four".