230102755423200 has 1728 divisors, whose sum is σ = 909760096627200. Its totient is φ = 54257817600000.

The previous prime is 230102755423199. The next prime is 230102755423249. The reversal of 230102755423200 is 2324557201032.

230102755423200 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 0 + 27 + 5 + 5 + 423 + 200 = 666.

It is a super-2 number, since 2×230102755423200² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 215250472266 + ... + 215250473334.

It is an arithmetic number, because the mean of its divisors is an integer number (526481537400).

Almost surely, 2^{230102755423200} is an apocalyptic number.

230102755423200 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 230102755423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454880048313600).

230102755423200 is an abundant number, since it is smaller than the sum of its proper divisors (679657341204000).

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

230102755423200 is a wasteful number, since it uses less digits than its factorization.

230102755423200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 230102755423200 in words is "two hundred thirty trillion, one hundred two billion, seven hundred fifty-five million, four hundred twenty-three thousand, two hundred".