230080197600 has 1152 divisors, whose sum is σ = 937065024000. Its totient is φ = 54013132800.

The previous prime is 230080197583. The next prime is 230080197601. The reversal of 230080197600 is 6791080032.

230080197600 is a `hidden beast` number, since 2 + 30 + 0 + 8 + 0 + 19 + 7 + 600 = 666.

230080197600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×230080197600³ (a number of 35 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (230080197601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1544162326 + ... + 1544162474.

It is an arithmetic number, because the mean of its divisors is an integer number (813424500).

Almost surely, 2^230080197600 is an apocalyptic number.

230080197600 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 230080197600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468532512000).

230080197600 is an abundant number, since it is smaller than the sum of its proper divisors (706984826400).

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

230080197600 is a wasteful number, since it uses less digits than its factorization.

230080197600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 230080197600 in words is "two hundred thirty billion, eighty million, one hundred ninety-seven thousand, six hundred".