243200512 has 40 divisors (see below), whose sum is σ = 487492236. Its totient is φ = 121208832.

The previous prime is 243200501. The next prime is 243200527. The reversal of 243200512 is 215002342.

243200512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 217149696 + 26050816 = 14736^2 + 5104^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 243200512.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 221148 + ... + 222244.

Almost surely, 2^243200512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243200512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243746118).

243200512 is an abundant number, since it is smaller than the sum of its proper divisors (244291724).

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

243200512 is an equidigital number, since it uses as much as digits as its factorization.

243200512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 243200512 is about 15594.8873673393. The cubic root of 243200512 is about 624.1967383153.

Adding to 243200512 its reverse (215002342), we get a palindrome (458202854).

The spelling of 243200512 in words is "two hundred forty-three million, two hundred thousand, five hundred twelve".