230338080 has 240 divisors, whose sum is σ = 929396160. Its totient is φ = 52627968.

The previous prime is 230338079. The next prime is 230338081. The reversal of 230338080 is 80833032.

230338080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230338079) and next prime (230338081).

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 (27).

It is not an unprimeable number, because it can be changed into a prime (230338081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 89451 + ... + 91989.

It is an arithmetic number, because the mean of its divisors is an integer number (3872484).

Almost surely, 2^230338080 is an apocalyptic number.

230338080 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 230338080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464698080).

230338080 is an abundant number, since it is smaller than the sum of its proper divisors (699058080).

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

230338080 is a wasteful number, since it uses less digits than its factorization.

230338080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 230338080 is about 15176.8929626587. The cubic root of 230338080 is about 612.9926221516.

It can be divided in two parts, 23033 and 8080, that added together give a palindrome (31113).

The spelling of 230338080 in words is "two hundred thirty million, three hundred thirty-eight thousand, eighty".