230233002320 has 40 divisors (see below), whose sum is σ = 535665543336. Its totient is φ = 92028889088.

The previous prime is 230233002313. The next prime is 230233002347. The reversal of 230233002320 is 23200332032.

230233002320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 77048435776 + 153184566544 = 277576^2 + 391388^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×230233002320² (a number of 24 digits) contains 22 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 = 230233002292 and 230233002301.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 889517 + ... + 1118796.

Almost surely, 2^230233002320 is an apocalyptic number.

230233002320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230233002320 is an abundant number, since it is smaller than the sum of its proper divisors (305432541016).

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

230233002320 is a wasteful number, since it uses less digits than its factorization.

230233002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009759 (or 2009753 counting only the distinct ones).

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

Adding to 230233002320 its reverse (23200332032), we get a palindrome (253433334352).

The spelling of 230233002320 in words is "two hundred thirty billion, two hundred thirty-three million, two thousand, three hundred twenty".