230303322000 has 240 divisors, whose sum is σ = 806161644912. Its totient is φ = 61277644800.

The previous prime is 230303321903. The next prime is 230303322001. The reversal of 230303322000 is 223303032.

It can be written as a sum of positive squares in 8 ways, for example, as 4123180944 + 226180141056 = 64212^2 + 475584^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (230303322001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8212002 + ... + 8239998.

Almost surely, 2^230303322000 is an apocalyptic number.

230303322000 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 230303322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403080822456).

230303322000 is an abundant number, since it is smaller than the sum of its proper divisors (575858322912).

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

230303322000 is a wasteful number, since it uses less digits than its factorization.

230303322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28483 (or 28464 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 230303322000 its reverse (223303032), we get a palindrome (230526625032).

The spelling of 230303322000 in words is "two hundred thirty billion, three hundred three million, three hundred twenty-two thousand".