230417612332232 has 256 divisors, whose sum is σ = 509072080608000. Its totient is φ = 96809797582848.

The previous prime is 230417612332189. The next prime is 230417612332253. The reversal of 230417612332232 is 232233216714032.

230417612332232 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 2×230417612332232² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 230417612332232.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10872334628 + ... + 10872355820.

It is an arithmetic number, because the mean of its divisors is an integer number (1988562814875).

Almost surely, 2^{230417612332232} 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 230417612332232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254536040304000).

230417612332232 is an abundant number, since it is smaller than the sum of its proper divisors (278654468275768).

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

230417612332232 is a wasteful number, since it uses less digits than its factorization.

230417612332232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22160 (or 22156 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 41.

The spelling of 230417612332232 in words is "two hundred thirty trillion, four hundred seventeen billion, six hundred twelve million, three hundred thirty-two thousand, two hundred thirty-two".