230533992 has 256 divisors, whose sum is σ = 756000000. Its totient is φ = 64447488.

The previous prime is 230533987. The next prime is 230533993. The reversal of 230533992 is 299335032.

230533992 is a `hidden beast` number, since 2 + 30 + 533 + 9 + 92 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (230533993) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1547134 + ... + 1547282.

It is an arithmetic number, because the mean of its divisors is an integer number (2953125).

Almost surely, 2^230533992 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 230533992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378000000).

230533992 is an abundant number, since it is smaller than the sum of its proper divisors (525466008).

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

230533992 is a wasteful number, since it uses less digits than its factorization.

230533992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 230533992 is about 15183.3458763212. The cubic root of 230533992 is about 613.1663647054.

The spelling of 230533992 in words is "two hundred thirty million, five hundred thirty-three thousand, nine hundred ninety-two".