230193792 has 128 divisors (see below), whose sum is σ = 695640000. Its totient is φ = 74898432.

The previous prime is 230193779. The next prime is 230193833. The reversal of 230193792 is 297391032.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 147834 + ... + 149382.

Almost surely, 2^230193792 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 230193792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347820000).

230193792 is an abundant number, since it is smaller than the sum of its proper divisors (465446208).

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

230193792 is a wasteful number, since it uses less digits than its factorization.

230193792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 230193792 is about 15172.1386758756. The cubic root of 230193792 is about 612.8645988069.

The spelling of 230193792 in words is "two hundred thirty million, one hundred ninety-three thousand, seven hundred ninety-two".