230160000 has 320 divisors, whose sum is σ = 879468480. Its totient is φ = 52224000.

The previous prime is 230159999. The next prime is 230160001. The reversal of 230160000 is 61032.

It is an interprime number because it is at equal distance from previous prime (230159999) and next prime (230160001).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (230160001) 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, 1679932 + ... + 1680068.

It is an arithmetic number, because the mean of its divisors is an integer number (2748339).

Almost surely, 2^230160000 is an apocalyptic number.

230160000 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 230160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439734240).

230160000 is an abundant number, since it is smaller than the sum of its proper divisors (649308480).

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

230160000 is an equidigital number, since it uses as much as digits as its factorization.

230160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 230160000 is about 15171.0250148103. The cubic root of 230160000 is about 612.8346082298.

The spelling of 230160000 in words is "two hundred thirty million, one hundred sixty thousand".