233204000000 has 252 divisors, whose sum is σ = 586963814892. Its totient is φ = 92467200000.

The previous prime is 233203999997. The next prime is 233204000021. The reversal of 233204000000 is 402332.

It can be written as a sum of positive squares in 14 ways, for example, as 212130251776 + 21073748224 = 460576^2 + 145168^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 691999832 + ... + 692000168.

Almost surely, 2^233204000000 is an apocalyptic number.

233204000000 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 233204000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293481907446).

233204000000 is an abundant number, since it is smaller than the sum of its proper divisors (353759814892).

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

233204000000 is an frugal number, since it uses more digits than its factorization.

233204000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

Adding to 233204000000 its reverse (402332), we get a palindrome (233204402332).

The spelling of 233204000000 in words is "two hundred thirty-three billion, two hundred four million", and thus it is an aban number.