230042320200 has 1440 divisors, whose sum is σ = 1028065896000. Its totient is φ = 45079372800.

The previous prime is 230042320169. The next prime is 230042320201. The reversal of 230042320200 is 2023240032.

230042320200 is a `hidden beast` number, since 2 + 300 + 42 + 320 + 2 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230042320201) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 5349821379 + ... + 5349821421.

It is an arithmetic number, because the mean of its divisors is an integer number (713934650).

Almost surely, 2^230042320200 is an apocalyptic number.

230042320200 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 230042320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514032948000).

230042320200 is an abundant number, since it is smaller than the sum of its proper divisors (798023575800).

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

230042320200 is a wasteful number, since it uses less digits than its factorization.

230042320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 230042320200 its reverse (2023240032), we get a palindrome (232065560232).

The spelling of 230042320200 in words is "two hundred thirty billion, forty-two million, three hundred twenty thousand, two hundred".