230231132032 has 64 divisors (see below), whose sum is σ = 502141777200. Its totient is φ = 104277913600.

The previous prime is 230231132017. The next prime is 230231132069.

230231132032 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

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 = 230231131994 and 230231132012.

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 7 ways as a sum of consecutive naturals, for example, 104694 + ... + 686602.

Almost surely, 2^230231132032 is an apocalyptic number.

230231132032 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 230231132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251070888600).

230231132032 is an abundant number, since it is smaller than the sum of its proper divisors (271910645168).

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

230231132032 is a wasteful number, since it uses less digits than its factorization.

230231132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582215 (or 582203 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

It can be divided in two parts, 230231 and 132032, that added together give a palindrome (362263).

The spelling of 230231132032 in words is "two hundred thirty billion, two hundred thirty-one million, one hundred thirty-two thousand, thirty-two".