22218144 has 96 divisors (see below), whose sum is σ = 66185280. Its totient is φ = 6469632.

The previous prime is 22218137. The next prime is 22218179. The reversal of 22218144 is 44181222.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 23244 + ... + 24180.

It is an arithmetic number, because the mean of its divisors is an integer number (689430).

Almost surely, 2^22218144 is an apocalyptic number.

22218144 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 22218144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33092640).

22218144 is an abundant number, since it is smaller than the sum of its proper divisors (43967136).

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

22218144 is a wasteful number, since it uses less digits than its factorization.

22218144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 974 counting only the distinct ones).

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

The square root of 22218144 is about 4713.6126272743. The cubic root of 22218144 is about 281.1270221859.

Adding to 22218144 its reverse (44181222), we get a palindrome (66399366).

The spelling of 22218144 in words is "twenty-two million, two hundred eighteen thousand, one hundred forty-four".