230420205024 has 96 divisors (see below), whose sum is σ = 613217848320. Its totient is φ = 75746790912.

The previous prime is 230420205023. The next prime is 230420205079. The reversal of 230420205024 is 420502024032.

It is a happy number.

230420205024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 230420204985 and 230420205003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230420205023) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6709882 + ... + 6744134.

It is an arithmetic number, because the mean of its divisors is an integer number (6387685920).

Almost surely, 2^230420205024 is an apocalyptic number.

230420205024 is a gapful number since it is divisible by the number (24) 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 230420205024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306608924160).

230420205024 is an abundant number, since it is smaller than the sum of its proper divisors (382797643296).

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

230420205024 is a wasteful number, since it uses less digits than its factorization.

230420205024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35232 (or 35224 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

Adding to 230420205024 its reverse (420502024032), we get a palindrome (650922229056).

The spelling of 230420205024 in words is "two hundred thirty billion, four hundred twenty million, two hundred five thousand, twenty-four".