233023201000 has 128 divisors (see below), whose sum is σ = 577152576000. Its totient is φ = 87814368000.

The previous prime is 233023200979. The next prime is 233023201001. The reversal of 233023201000 is 102320332.

233023201000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (233023201001) 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 31 ways as a sum of consecutive naturals, for example, 3405121 + ... + 3472879.

It is an arithmetic number, because the mean of its divisors is an integer number (4509004500).

Almost surely, 2^233023201000 is an apocalyptic number.

233023201000 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 233023201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288576288000).

233023201000 is an abundant number, since it is smaller than the sum of its proper divisors (344129375000).

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

233023201000 is a wasteful number, since it uses less digits than its factorization.

233023201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67980 (or 67966 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 233023201000 its reverse (102320332), we get a palindrome (233125521332).

The spelling of 233023201000 in words is "two hundred thirty-three billion, twenty-three million, two hundred one thousand".