230140800 has 288 divisors, whose sum is σ = 841028760. Its totient is φ = 59904000.

The previous prime is 230140793. The next prime is 230140873. The reversal of 230140800 is 8041032.

It is a happy number.

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, 1756735 + ... + 1756865.

Almost surely, 2^230140800 is an apocalyptic number.

230140800 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 230140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420514380).

230140800 is an abundant number, since it is smaller than the sum of its proper divisors (610887960).

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

230140800 is a wasteful number, since it uses less digits than its factorization.

230140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 230140800 is about 15170.3922164195. The cubic root of 230140800 is about 612.8175668214.

Adding to 230140800 its reverse (8041032), we get a palindrome (238181832).

The spelling of 230140800 in words is "two hundred thirty million, one hundred forty thousand, eight hundred".