230014080 has 448 divisors, whose sum is σ = 903036600. Its totient is φ = 55738368.

The previous prime is 230014061. The next prime is 230014087. The reversal of 230014080 is 80410032.

It is a happy number.

230014080 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 4 ways, for example, as 209438784 + 20575296 = 14472^2 + 4536^2 .

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 (230014087) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7931506 + ... + 7931534.

Almost surely, 2^230014080 is an apocalyptic number.

230014080 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 230014080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451518300).

230014080 is an abundant number, since it is smaller than the sum of its proper divisors (673022520).

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

230014080 is an equidigital number, since it uses as much as digits as its factorization.

230014080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 230014080 is about 15166.2150848523. The cubic root of 230014080 is about 612.7050697479.

The spelling of 230014080 in words is "two hundred thirty million, fourteen thousand, eighty".