230232232032 has 48 divisors (see below), whose sum is σ = 659301394752. Its totient is φ = 69767342720.

The previous prime is 230232232031. The next prime is 230232232033.

230232232032 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (230232232031) and next prime (230232232033).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 230232231993 and 230232232011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230232232031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109010418 + ... + 109012529.

It is an arithmetic number, because the mean of its divisors is an integer number (13735445724).

Almost surely, 2^230232232032 is an apocalyptic number.

230232232032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230232232032 is an abundant number, since it is smaller than the sum of its proper divisors (429069162720).

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

230232232032 is a wasteful number, since it uses less digits than its factorization.

230232232032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218022971 (or 218022963 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

It can be divided in two parts, 230232 and 232032, that added together give a palindrome (462264).

The spelling of 230232232032 in words is "two hundred thirty billion, two hundred thirty-two million, two hundred thirty-two thousand, thirty-two".