230221241320 has 192 divisors, whose sum is σ = 643877586000. Its totient is φ = 73607159808.

The previous prime is 230221241317. The next prime is 230221241333. The reversal of 230221241320 is 23142122032.

230221241320 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 8 ways, for example, as 187179100164 + 43042141156 = 432642^2 + 207466^2 .

It is a junction number, because it is equal to n+sod(n) for n = 230221241291 and 230221241300.

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 47 ways as a sum of consecutive naturals, for example, 3600186 + ... + 3663574.

Almost surely, 2^230221241320 is an apocalyptic number.

230221241320 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 230221241320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321938793000).

230221241320 is an abundant number, since it is smaller than the sum of its proper divisors (413656344680).

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

230221241320 is a wasteful number, since it uses less digits than its factorization.

230221241320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63540 (or 63529 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 230221241320 its reverse (23142122032), we get a palindrome (253363363352).

The spelling of 230221241320 in words is "two hundred thirty billion, two hundred twenty-one million, two hundred forty-one thousand, three hundred twenty".