230113632 has 96 divisors (see below), whose sum is σ = 730985472. Its totient is φ = 61876224.

The previous prime is 230113613. The next prime is 230113633. The reversal of 230113632 is 236311032.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 230113599 and 230113608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230113633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1353 + ... + 21495.

It is an arithmetic number, because the mean of its divisors is an integer number (7614432).

Almost surely, 2^230113632 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 230113632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365492736).

230113632 is an abundant number, since it is smaller than the sum of its proper divisors (500871840).

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

230113632 is a wasteful number, since it uses less digits than its factorization.

230113632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20180 (or 20172 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 230113632 is about 15169.4967615936. The cubic root of 230113632 is about 612.7934516090.

Adding to 230113632 its reverse (236311032), we get a palindrome (466424664).

The spelling of 230113632 in words is "two hundred thirty million, one hundred thirteen thousand, six hundred thirty-two".