230794200 has 288 divisors, whose sum is σ = 954626400. Its totient is φ = 48660480.

The previous prime is 230794183. The next prime is 230794219. The reversal of 230794200 is 2497032.

230794200 is a `hidden beast` number, since 230 + 7 + 9 + 420 + 0 = 666.

230794200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 163096 + ... + 164504.

It is an arithmetic number, because the mean of its divisors is an integer number (3314675).

Almost surely, 2^230794200 is an apocalyptic number.

230794200 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 230794200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477313200).

230794200 is an abundant number, since it is smaller than the sum of its proper divisors (723832200).

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

230794200 is a wasteful number, since it uses less digits than its factorization.

230794200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 230794200 is about 15191.9123220219. The cubic root of 230794200 is about 613.3969753851.

It can be divided in two parts, 230 and 794200, that added together give a triangular number (794430 = T₁₂₆₀).

The spelling of 230794200 in words is "two hundred thirty million, seven hundred ninety-four thousand, two hundred".