234032200 has 72 divisors (see below), whose sum is σ = 578157750. Its totient is φ = 88084480.

The previous prime is 234032189. The next prime is 234032209. The reversal of 234032200 is 2230432.

It can be written as a sum of positive squares in 9 ways, for example, as 37527876 + 196504324 = 6126^2 + 14018^2 .

It is not an unprimeable number, because it can be changed into a prime (234032209) by changing a digit.

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, 55776 + ... + 59824.

Almost surely, 2^234032200 is an apocalyptic number.

234032200 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 234032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289078875).

234032200 is an abundant number, since it is smaller than the sum of its proper divisors (344125550).

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

234032200 is a wasteful number, since it uses less digits than its factorization.

234032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4099 (or 4073 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 234032200 is about 15298.1109944986. The cubic root of 234032200 is about 616.2522790245.

Adding to 234032200 its reverse (2230432), we get a palindrome (236262632).

The spelling of 234032200 in words is "two hundred thirty-four million, thirty-two thousand, two hundred".