22144400 has 120 divisors (see below), whose sum is σ = 58121280. Its totient is φ = 8081920.

The previous prime is 22144393. The next prime is 22144427. The reversal of 22144400 is 444122.

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 23 ways as a sum of consecutive naturals, for example, 266759 + ... + 266841.

It is an arithmetic number, because the mean of its divisors is an integer number (484344).

Almost surely, 2^22144400 is an apocalyptic number.

22144400 is a gapful number since it is divisible by the number (20) 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 22144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29060640).

22144400 is an abundant number, since it is smaller than the sum of its proper divisors (35976880).

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

22144400 is a wasteful number, since it uses less digits than its factorization.

22144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 22144400 is about 4705.7836754360. The cubic root of 22144400 is about 280.8156488926.

Adding to 22144400 its reverse (444122), we get a palindrome (22588522).

The spelling of 22144400 in words is "twenty-two million, one hundred forty-four thousand, four hundred".