22200213200 has 120 divisors (see below), whose sum is σ = 59171614560. Its totient is φ = 7935884800.

The previous prime is 22200213193. The next prime is 22200213209. The reversal of 22200213200 is 231200222.

It is a super-2 number, since 2×22200213200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22200213209) 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, 216842 + ... + 302358.

It is an arithmetic number, because the mean of its divisors is an integer number (493096788).

Almost surely, 2^22200213200 is an apocalyptic number.

22200213200 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 22200213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29585807280).

22200213200 is an abundant number, since it is smaller than the sum of its proper divisors (36971401360).

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

22200213200 is a wasteful number, since it uses less digits than its factorization.

22200213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85605 (or 85594 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 22200213200 its reverse (231200222), we get a palindrome (22431413422).

The spelling of 22200213200 in words is "twenty-two billion, two hundred million, two hundred thirteen thousand, two hundred".