230820000 has 120 divisors (see below), whose sum is σ = 757332576. Its totient is φ = 61536000.

The previous prime is 230819989. The next prime is 230820043. The reversal of 230820000 is 28032.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 58077 + ... + 61923.

Almost surely, 2^230820000 is an apocalyptic number.

230820000 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 230820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378666288).

230820000 is an abundant number, since it is smaller than the sum of its proper divisors (526512576).

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

230820000 is an equidigital number, since it uses as much as digits as its factorization.

230820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3880 (or 3857 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 230820000 is about 15192.7614343147. The cubic root of 230820000 is about 613.4198313209.

Adding to 230820000 its reverse (28032), we get a palindrome (230848032).

The spelling of 230820000 in words is "two hundred thirty million, eight hundred twenty thousand".