22424200200200 has 192 divisors, whose sum is σ = 53797221757440. Its totient is φ = 8687347200000.

The previous prime is 22424200200197. The next prime is 22424200200223. The reversal of 22424200200200 is 200200242422.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624420245 + ... + 624456155.

It is an arithmetic number, because the mean of its divisors is an integer number (280193863320).

Almost surely, 2^{22424200200200} is an apocalyptic number.

22424200200200 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 22424200200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26898610878720).

22424200200200 is an abundant number, since it is smaller than the sum of its proper divisors (31373021557240).

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

22424200200200 is a wasteful number, since it uses less digits than its factorization.

22424200200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36520 (or 36511 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 22424200200200 its reverse (200200242422), we get a palindrome (22624400442622).

The spelling of 22424200200200 in words is "twenty-two trillion, four hundred twenty-four billion, two hundred million, two hundred thousand, two hundred".