233420020024332 has 144 divisors (see below), whose sum is σ = 584269393809920. Its totient is φ = 72508554252288.

The previous prime is 233420020024327. The next prime is 233420020024343.

233420020024332 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 233420020024332.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2745784644 + ... + 2745869652.

Almost surely, 2^{233420020024332} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233420020024332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292134696904960).

233420020024332 is an abundant number, since it is smaller than the sum of its proper divisors (350849373785588).

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

233420020024332 is a wasteful number, since it uses less digits than its factorization.

233420020024332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92840 (or 92821 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

The spelling of 233420020024332 in words is "two hundred thirty-three trillion, four hundred twenty billion, twenty million, twenty-four thousand, three hundred thirty-two".