230371200 has 288 divisors, whose sum is σ = 867336600. Its totient is φ = 58060800.

The previous prime is 230371129. The next prime is 230371241. The reversal of 230371200 is 2173032.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 546990 + ... + 547410.

Almost surely, 2^230371200 is an apocalyptic number.

230371200 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 230371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433668300).

230371200 is an abundant number, since it is smaller than the sum of its proper divisors (636965400).

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

230371200 is a wasteful number, since it uses less digits than its factorization.

230371200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 230371200 is about 15177.9840558620. The cubic root of 230371200 is about 613.0220012027.

The spelling of 230371200 in words is "two hundred thirty million, three hundred seventy-one thousand, two hundred".