230287200 has 432 divisors, whose sum is σ = 901848528. Its totient is φ = 50688000.

The previous prime is 230287199. The next prime is 230287217. The reversal of 230287200 is 2782032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3775170 + ... + 3775230.

Almost surely, 2^230287200 is an apocalyptic number.

230287200 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 230287200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450924264).

230287200 is an abundant number, since it is smaller than the sum of its proper divisors (671561328).

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

230287200 is a wasteful number, since it uses less digits than its factorization.

230287200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 230287200 is about 15175.2166376629. The cubic root of 230287200 is about 612.9474836298.

The spelling of 230287200 in words is "two hundred thirty million, two hundred eighty-seven thousand, two hundred".