22144200 has 192 divisors, whose sum is σ = 78744960. Its totient is φ = 5099520.

The previous prime is 22144189. The next prime is 22144219. The reversal of 22144200 is 244122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22144200.

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 47 ways as a sum of consecutive naturals, for example, 132517 + ... + 132683.

It is an arithmetic number, because the mean of its divisors is an integer number (410130).

Almost surely, 2^22144200 is an apocalyptic number.

22144200 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 22144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39372480).

22144200 is an abundant number, since it is smaller than the sum of its proper divisors (56600760).

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

22144200 is a wasteful number, since it uses less digits than its factorization.

22144200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 22144200 is about 4705.7624249424. The cubic root of 22144200 is about 280.8148034825.

Adding to 22144200 its reverse (244122), we get a palindrome (22388322).

The spelling of 22144200 in words is "twenty-two million, one hundred forty-four thousand, two hundred".