233204320000 has 180 divisors, whose sum is σ = 600462740416. Its totient is φ = 90270720000.

The previous prime is 233204319991. The next prime is 233204320007. The reversal of 233204320000 is 23402332.

233204320000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 233204320000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233204320007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4936492 + ... + 4983508.

Almost surely, 2^233204320000 is an apocalyptic number.

233204320000 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 233204320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300231370208).

233204320000 is an abundant number, since it is smaller than the sum of its proper divisors (367258420416).

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

233204320000 is an frugal number, since it uses more digits than its factorization.

233204320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47084 (or 47055 counting only the distinct ones).

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

Adding to 233204320000 its reverse (23402332), we get a palindrome (233227722332).

The spelling of 233204320000 in words is "two hundred thirty-three billion, two hundred four million, three hundred twenty thousand".