22180200 has 96 divisors (see below), whose sum is σ = 78596160. Its totient is φ = 5068800.

The previous prime is 22180199. The next prime is 22180219. The reversal of 22180200 is 208122.

It is a super-2 number, since 2×22180200² = 983922544080000, which contains 22 as substring.

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 22180200.

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, 1560 + ... + 6840.

It is an arithmetic number, because the mean of its divisors is an integer number (818710).

Almost surely, 2^22180200 is an apocalyptic number.

22180200 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 22180200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39298080).

22180200 is an abundant number, since it is smaller than the sum of its proper divisors (56415960).

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

22180200 is a wasteful number, since it uses less digits than its factorization.

22180200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5307 (or 5298 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 22180200 is about 4709.5859690635. The cubic root of 22180200 is about 280.9668953710.

Adding to 22180200 its reverse (208122), we get a palindrome (22388322).

The spelling of 22180200 in words is "twenty-two million, one hundred eighty thousand, two hundred".