204022332330000 has 400 divisors, whose sum is σ = 676715780632320. Its totient is φ = 52911719424000.

The previous prime is 204022332329891. The next prime is 204022332330017. The reversal of 204022332330000 is 33233220402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×204022332330000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 2538529816 + ... + 2538610184.

Almost surely, 2^{204022332330000} is an apocalyptic number.

204022332330000 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 204022332330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338357890316160).

204022332330000 is an abundant number, since it is smaller than the sum of its proper divisors (472693448302320).

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

204022332330000 is a wasteful number, since it uses less digits than its factorization.

204022332330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82724 (or 82703 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 204022332330000 its reverse (33233220402), we get a palindrome (204055565550402).

The spelling of 204022332330000 in words is "two hundred four trillion, twenty-two billion, three hundred thirty-two million, three hundred thirty thousand".