230020200 has 144 divisors (see below), whose sum is σ = 818033580. Its totient is φ = 57722880.

The previous prime is 230020187. The next prime is 230020207. The reversal of 230020200 is 2020032.

It can be written as a sum of positive squares in 6 ways, for example, as 174398436 + 55621764 = 13206^2 + 7458^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (230020207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26842 + ... + 34358.

Almost surely, 2^230020200 is an apocalyptic number.

230020200 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 230020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409016790).

230020200 is an abundant number, since it is smaller than the sum of its proper divisors (588013380).

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

230020200 is a wasteful number, since it uses less digits than its factorization.

230020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7556 (or 7544 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 230020200 is about 15166.4168477594. The cubic root of 230020200 is about 612.7105037947.

Adding to 230020200 its reverse (2020032), we get a palindrome (232040232).

It can be divided in two parts, 2300 and 20200, that added together give a square (22500 = 150²).

The spelling of 230020200 in words is "two hundred thirty million, twenty thousand, two hundred".