230593272 has 128 divisors (see below), whose sum is σ = 746995200. Its totient is φ = 57604608.

The previous prime is 230593267. The next prime is 230593289. The reversal of 230593272 is 272395032.

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 31 ways as a sum of consecutive naturals, for example, 38718 + ... + 44274.

It is an arithmetic number, because the mean of its divisors is an integer number (5835900).

Almost surely, 2^230593272 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 230593272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373497600).

230593272 is an abundant number, since it is smaller than the sum of its proper divisors (516401928).

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

230593272 is a wasteful number, since it uses less digits than its factorization.

230593272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5605 (or 5601 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 230593272 is about 15185.2978897353. The cubic root of 230593272 is about 613.2189171680.

The spelling of 230593272 in words is "two hundred thirty million, five hundred ninety-three thousand, two hundred seventy-two".