22213213200 has 420 divisors, whose sum is σ = 84739892148. Its totient is φ = 5573836800.

The previous prime is 22213213157. The next prime is 22213213241. The reversal of 22213213200 is 231231222.

22213213200 is a `hidden beast` number, since 2 + 2 + 21 + 321 + 320 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 544195584 + 21669017616 = 23328^2 + 147204^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4954960 + ... + 4959440.

Almost surely, 2^22213213200 is an apocalyptic number.

22213213200 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 22213213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42369946074).

22213213200 is an abundant number, since it is smaller than the sum of its proper divisors (62526678948).

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

22213213200 is a wasteful number, since it uses less digits than its factorization.

22213213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4534 (or 4508 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22213213200 its reverse (231231222), we get a palindrome (22444444422).

The spelling of 22213213200 in words is "twenty-two billion, two hundred thirteen million, two hundred thirteen thousand, two hundred".