230029200 has 360 divisors, whose sum is σ = 878738400. Its totient is φ = 57127680.

The previous prime is 230029199. The next prime is 230029243. The reversal of 230029200 is 2920032.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3898771 + ... + 3898829.

It is an arithmetic number, because the mean of its divisors is an integer number (2440940).

Almost surely, 2^230029200 is an apocalyptic number.

230029200 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 230029200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439369200).

230029200 is an abundant number, since it is smaller than the sum of its proper divisors (648709200).

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

230029200 is a wasteful number, since it uses less digits than its factorization.

230029200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 230029200 is about 15166.7135530411. The cubic root of 230029200 is about 612.7184948647.

Adding to 230029200 its reverse (2920032), we get a palindrome (232949232).

The spelling of 230029200 in words is "two hundred thirty million, twenty-nine thousand, two hundred".