243123200 has 66 divisors (see below), whose sum is σ = 602714586. Its totient is φ = 97239040.

The previous prime is 243123193. The next prime is 243123217. The reversal of 243123200 is 2321342.

It can be written as a sum of positive squares in 3 ways, for example, as 262144 + 242861056 = 512^2 + 15584^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20852 + ... + 30348.

Almost surely, 2^243123200 is an apocalyptic number.

243123200 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 243123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301357293).

243123200 is an abundant number, since it is smaller than the sum of its proper divisors (359591386).

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

243123200 is an equidigital number, since it uses as much as digits as its factorization.

243123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9527 (or 9504 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 243123200 is about 15592.4084092227. The cubic root of 243123200 is about 624.1305884919.

Adding to 243123200 its reverse (2321342), we get a palindrome (245444542).

The spelling of 243123200 in words is "two hundred forty-three million, one hundred twenty-three thousand, two hundred".