233022032000 has 128 divisors (see below), whose sum is σ = 584769818880. Its totient is φ = 92337024000.

The previous prime is 233022031999. The next prime is 233022032099. The reversal of 233022032000 is 230220332.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 233022032000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1643945 + ... + 1780055.

It is an arithmetic number, because the mean of its divisors is an integer number (4568514210).

Almost surely, 2^233022032000 is an apocalyptic number.

233022032000 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 233022032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292384909440).

233022032000 is an abundant number, since it is smaller than the sum of its proper divisors (351747786880).

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

233022032000 is a wasteful number, since it uses less digits than its factorization.

233022032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136247 (or 136225 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

Adding to 233022032000 its reverse (230220332), we get a palindrome (233252252332).

The spelling of 233022032000 in words is "two hundred thirty-three billion, twenty-two million, thirty-two thousand".