22242100200320 has 768 divisors, whose sum is σ = 72021004070400. Its totient is φ = 6391529717760.

The previous prime is 22242100200311. The next prime is 22242100200323. The reversal of 22242100200320 is 2300200124222.

It is a super-2 number, since 2×22242100200320² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 22242100200292 and 22242100200301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22242100200323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8364835151 + ... + 8364837809.

It is an arithmetic number, because the mean of its divisors is an integer number (93777349050).

Almost surely, 2^{22242100200320} is an apocalyptic number.

22242100200320 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 22242100200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36010502035200).

22242100200320 is an abundant number, since it is smaller than the sum of its proper divisors (49778903870080).

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

22242100200320 is a wasteful number, since it uses less digits than its factorization.

22242100200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3907 (or 3884 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22242100200320 its reverse (2300200124222), we get a palindrome (24542300324542).

The spelling of 22242100200320 in words is "twenty-two trillion, two hundred forty-two billion, one hundred million, two hundred thousand, three hundred twenty".