230142320520 has 256 divisors, whose sum is σ = 836054991360. Its totient is φ = 49475223552.

The previous prime is 230142320519. The next prime is 230142320531. The reversal of 230142320520 is 25023241032.

230142320520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 24228412 + ... + 24237908.

It is an arithmetic number, because the mean of its divisors is an integer number (3265839810).

Almost surely, 2^230142320520 is an apocalyptic number.

230142320520 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 230142320520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418027495680).

230142320520 is an abundant number, since it is smaller than the sum of its proper divisors (605912670840).

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

230142320520 is a wasteful number, since it uses less digits than its factorization.

230142320520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11232 (or 11228 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 230142320520 its reverse (25023241032), we get a palindrome (255165561552).

The spelling of 230142320520 in words is "two hundred thirty billion, one hundred forty-two million, three hundred twenty thousand, five hundred twenty".