230851200 has 192 divisors, whose sum is σ = 770263200. Its totient is φ = 60764160.

The previous prime is 230851189. The next prime is 230851237. The reversal of 230851200 is 2158032.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1334314 + ... + 1334486.

Almost surely, 2^230851200 is an apocalyptic number.

230851200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385131600).

230851200 is an abundant number, since it is smaller than the sum of its proper divisors (539412000).

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

230851200 is a wasteful number, since it uses less digits than its factorization.

230851200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 230851200 is about 15193.7882043946. The cubic root of 230851200 is about 613.4474687823.

The spelling of 230851200 in words is "two hundred thirty million, eight hundred fifty-one thousand, two hundred".