233000000000 has 200 divisors, whose sum is σ = 584428651092. Its totient is φ = 92800000000.

The previous prime is 232999999997. The next prime is 233000000003. The reversal of 233000000000 is 332.

233000000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (232999999997) and next prime (233000000003).

It can be written as a sum of positive squares in 10 ways, for example, as 113682260224 + 119317739776 = 337168^2 + 345424^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (233000000003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 999999884 + ... + 1000000116.

Almost surely, 2^233000000000 is an apocalyptic number.

233000000000 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 233000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292214325546).

233000000000 is an abundant number, since it is smaller than the sum of its proper divisors (351428651092).

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

233000000000 is an frugal number, since it uses more digits than its factorization.

233000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 8.

Adding to 233000000000 its reverse (332), we get a palindrome (233000000332).

The spelling of 233000000000 in words is "two hundred thirty-three billion", and thus it is an aban number.