230252252032 has 64 divisors (see below), whose sum is σ = 500697959040. Its totient is φ = 104599088640.

The previous prime is 230252252011. The next prime is 230252252033.

230252252032 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (230252252033) 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, 2412973 + ... + 2506579.

It is an arithmetic number, because the mean of its divisors is an integer number (7823405610).

Almost surely, 2^230252252032 is an apocalyptic number.

230252252032 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 230252252032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250348979520).

230252252032 is an abundant number, since it is smaller than the sum of its proper divisors (270445707008).

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

230252252032 is a wasteful number, since it uses less digits than its factorization.

230252252032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95379 (or 95367 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

It can be divided in two parts, 230252 and 252032, that added together give a palindrome (482284).

The spelling of 230252252032 in words is "two hundred thirty billion, two hundred fifty-two million, two hundred fifty-two thousand, thirty-two".