22116144 has 80 divisors (see below), whose sum is σ = 59996160. Its totient is φ = 7011840.

The previous prime is 22116109. The next prime is 22116163. The reversal of 22116144 is 44161122.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22116144.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132349 + ... + 132515.

It is an arithmetic number, because the mean of its divisors is an integer number (749952).

Almost surely, 2^22116144 is an apocalyptic number.

22116144 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 22116144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29998080).

22116144 is an abundant number, since it is smaller than the sum of its proper divisors (37880016).

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

22116144 is a wasteful number, since it uses less digits than its factorization.

22116144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 292 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 22116144 is about 4702.7804541569. The cubic root of 22116144 is about 280.6961588749.

Adding to 22116144 its reverse (44161122), we get a palindrome (66277266).

The spelling of 22116144 in words is "twenty-two million, one hundred sixteen thousand, one hundred forty-four".