22013224200 has 288 divisors, whose sum is σ = 83637459360. Its totient is φ = 5336409600.

The previous prime is 22013224151. The next prime is 22013224229. The reversal of 22013224200 is 242231022.

22013224200 is a `hidden beast` number, since 220 + 1 + 3 + 22 + 420 + 0 = 666.

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

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 71 ways as a sum of consecutive naturals, for example, 514012 + ... + 555188.

It is an arithmetic number, because the mean of its divisors is an integer number (290407845).

Almost surely, 2^22013224200 is an apocalyptic number.

22013224200 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 22013224200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41818729680).

22013224200 is an abundant number, since it is smaller than the sum of its proper divisors (61624235160).

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

22013224200 is a wasteful number, since it uses less digits than its factorization.

22013224200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41219 (or 41198 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22013224200 its reverse (242231022), we get a palindrome (22255455222).

The spelling of 22013224200 in words is "twenty-two billion, thirteen million, two hundred twenty-four thousand, two hundred".