230033330032 has 40 divisors (see below), whose sum is σ = 492064755840. Its totient is φ = 103300831680.

The previous prime is 230033329993. The next prime is 230033330053.

230033330032 is nontrivially palindromic in base 10.

230033330032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×230033330032² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 230033329985 and 230033330012.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7858932 + ... + 7888147.

It is an arithmetic number, because the mean of its divisors is an integer number (12301618896).

Almost surely, 2^230033330032 is an apocalyptic number.

230033330032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230033330032 is an abundant number, since it is smaller than the sum of its proper divisors (262031425808).

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

230033330032 is a wasteful number, since it uses less digits than its factorization.

230033330032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15747181 (or 15747175 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 22.

It can be divided in two parts, 230033 and 330032, that added together give a palindrome (560065).

The spelling of 230033330032 in words is "two hundred thirty billion, thirty-three million, three hundred thirty thousand, thirty-two".