22188400 has 120 divisors (see below), whose sum is σ = 61027344. Its totient is φ = 7680000.

The previous prime is 22188389. The next prime is 22188401. The reversal of 22188400 is 488122.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22188401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88275 + ... + 88525.

Almost surely, 2^22188400 is an apocalyptic number.

22188400 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 22188400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30513672).

22188400 is an abundant number, since it is smaller than the sum of its proper divisors (38838944).

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

22188400 is a wasteful number, since it uses less digits than its factorization.

22188400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 22188400 is about 4710.4564534661. The cubic root of 22188400 is about 281.0015155079.

It can be divided in two parts, 221 and 88400, that multiplied together give a square (19536400 = 4420²).

The spelling of 22188400 in words is "twenty-two million, one hundred eighty-eight thousand, four hundred".