233241142332 has 96 divisors (see below), whose sum is σ = 629604057600. Its totient is φ = 66418309120.

The previous prime is 233241142297. The next prime is 233241142357.

It is a happy number.

233241142332 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 233241142332.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1371544 + ... + 1532192.

It is an arithmetic number, because the mean of its divisors is an integer number (6558375600).

Almost surely, 2^233241142332 is an apocalyptic number.

233241142332 is a gapful number since it is divisible by the number (22) 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 233241142332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314802028800).

233241142332 is an abundant number, since it is smaller than the sum of its proper divisors (396362915268).

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

233241142332 is a wasteful number, since it uses less digits than its factorization.

233241142332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161331 (or 161329 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 233241 and 142332, that added together give a palindrome (375573).

The spelling of 233241142332 in words is "two hundred thirty-three billion, two hundred forty-one million, one hundred forty-two thousand, three hundred thirty-two".