204233032000 has 112 divisors (see below), whose sum is σ = 506127258000. Its totient is φ = 81637632000.

The previous prime is 204233031997. The next prime is 204233032009. The reversal of 204233032000 is 230332402.

It can be written as a sum of positive squares in 8 ways, for example, as 101674250496 + 102558781504 = 318864^2 + 320248^2 .

It is a super-2 number, since 2×204233032000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204233032009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12960126 + ... + 12975874.

It is an arithmetic number, because the mean of its divisors is an integer number (4518993375).

Almost surely, 2^204233032000 is an apocalyptic number.

204233032000 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 204233032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253063629000).

204233032000 is an abundant number, since it is smaller than the sum of its proper divisors (301894226000).

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

204233032000 is a wasteful number, since it uses less digits than its factorization.

204233032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17397 (or 17377 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

Adding to 204233032000 its reverse (230332402), we get a palindrome (204463364402).

The spelling of 204233032000 in words is "two hundred four billion, two hundred thirty-three million, thirty-two thousand".