230001410300200 has 384 divisors, whose sum is σ = 719682008832000. Its totient is φ = 66207299558400.

The previous prime is 230001410300149. The next prime is 230001410300209. The reversal of 230001410300200 is 2003014100032.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (230001410300209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 923970 + ... + 21467569.

It is an arithmetic number, because the mean of its divisors is an integer number (1874171898000).

Almost surely, 2^{230001410300200} is an apocalyptic number.

230001410300200 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 230001410300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359841004416000).

230001410300200 is an abundant number, since it is smaller than the sum of its proper divisors (489680598531800).

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

230001410300200 is a wasteful number, since it uses less digits than its factorization.

230001410300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22391625 (or 22391616 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 230001410300200 its reverse (2003014100032), we get a palindrome (232004424400232).

The spelling of 230001410300200 in words is "two hundred thirty trillion, one billion, four hundred ten million, three hundred thousand, two hundred".