22442300331000 has 512 divisors, whose sum is σ = 76770820638720. Its totient is φ = 5413180416000.

The previous prime is 22442300330963. The next prime is 22442300331001. The reversal of 22442300331000 is 13300324422.

It is a super-2 number, since 2×22442300331000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22442300331001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6194395189 + ... + 6194398811.

It is an arithmetic number, because the mean of its divisors is an integer number (149943009060).

Almost surely, 2^{22442300331000} is an apocalyptic number.

22442300331000 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 22442300331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38385410319360).

22442300331000 is an abundant number, since it is smaller than the sum of its proper divisors (54328520307720).

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

22442300331000 is a wasteful number, since it uses less digits than its factorization.

22442300331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4552 (or 4538 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 22442300331000 its reverse (13300324422), we get a palindrome (22455600655422).

The spelling of 22442300331000 in words is "twenty-two trillion, four hundred forty-two billion, three hundred million, three hundred thirty-one thousand".