230011200 has 126 divisors (see below), whose sum is σ = 817565294. Its totient is φ = 61332480.

The previous prime is 230011183. The next prime is 230011219. The reversal of 230011200 is 2110032.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 31539456 + 198471744 = 5616^2 + 14088^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6414 + ... + 22386.

Almost surely, 2^230011200 is an apocalyptic number.

230011200 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 230011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408782647).

230011200 is an abundant number, since it is smaller than the sum of its proper divisors (587554094).

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

230011200 is a wasteful number, since it uses less digits than its factorization.

230011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16001 (or 15983 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 230011200 is about 15166.1201366731. The cubic root of 230011200 is about 612.7025125161.

Adding to 230011200 its reverse (2110032), we get a palindrome (232121232).

The spelling of 230011200 in words is "two hundred thirty million, eleven thousand, two hundred".