230023320320 has 72 divisors (see below), whose sum is σ = 553026806640. Its totient is φ = 91667148800.

The previous prime is 230023320313. The next prime is 230023320323. The reversal of 230023320320 is 23023320032.

It is a super-3 number, since 3×230023320320³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 230023320292 and 230023320301.

It is not an unprimeable number, because it can be changed into a prime (230023320323) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10295 + ... + 678345.

It is an arithmetic number, because the mean of its divisors is an integer number (7680927870).

Almost surely, 2^230023320320 is an apocalyptic number.

230023320320 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 230023320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276513403320).

230023320320 is an abundant number, since it is smaller than the sum of its proper divisors (323003486320).

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

230023320320 is an equidigital number, since it uses as much as digits as its factorization.

230023320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668341 (or 668327 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 230023320320 its reverse (23023320032), we get a palindrome (253046640352).

The spelling of 230023320320 in words is "two hundred thirty billion, twenty-three million, three hundred twenty thousand, three hundred twenty".