22118400 has 192 divisors, whose sum is σ = 81263400. Its totient is φ = 5898240.

The previous prime is 22118399. The next prime is 22118401. The reversal of 22118400 is 481122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as 6! ⋅ 5! ⋅ (2!)⁸.

It is an interprime number because it is at equal distance from previous prime (22118399) and next prime (22118401).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22118401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4423678 + ... + 4423682.

Almost surely, 2^22118400 is an apocalyptic number.

22118400 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 22118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40631700).

22118400 is an abundant number, since it is smaller than the sum of its proper divisors (59145000).

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

22118400 is an frugal number, since it uses more digits than its factorization.

22118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 22118400 is about 4703.0203061437. The cubic root of 22118400 is about 280.7057028684.

Adding to 22118400 its reverse (481122), we get a palindrome (22599522).

The spelling of 22118400 in words is "twenty-two million, one hundred eighteen thousand, four hundred".