230967827319300 has 144 divisors (see below), whose sum is σ = 682585611724800. Its totient is φ = 60272109952640.

The previous prime is 230967827319293. The next prime is 230967827319349. The reversal of 230967827319300 is 3913728769032.

It is a super-2 number, since 2×230967827319300² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95061001 + ... + 97460399.

It is an arithmetic number, because the mean of its divisors is an integer number (4740177859200).

Almost surely, 2^{230967827319300} is an apocalyptic number.

230967827319300 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 230967827319300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341292805862400).

230967827319300 is an abundant number, since it is smaller than the sum of its proper divisors (451617784405500).

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

230967827319300 is a wasteful number, since it uses less digits than its factorization.

230967827319300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406290 (or 2406283 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 60.

The spelling of 230967827319300 in words is "two hundred thirty trillion, nine hundred sixty-seven billion, eight hundred twenty-seven million, three hundred nineteen thousand, three hundred".