243223200 has 432 divisors, whose sum is σ = 972500256. Its totient is φ = 56678400.

The previous prime is 243223187. The next prime is 243223207. The reversal of 243223200 is 2322342.

243223200 is a `hidden beast` number, since 2 + 432 + 232 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (243223207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2930359 + ... + 2930441.

It is an arithmetic number, because the mean of its divisors is an integer number (2251158).

Almost surely, 2^243223200 is an apocalyptic number.

243223200 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 243223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486250128).

243223200 is an abundant number, since it is smaller than the sum of its proper divisors (729277056).

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

243223200 is a wasteful number, since it uses less digits than its factorization.

243223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 243223200 is about 15595.6147682610. The cubic root of 243223200 is about 624.2161479993.

Adding to 243223200 its reverse (2322342), we get a palindrome (245545542).

The spelling of 243223200 in words is "two hundred forty-three million, two hundred twenty-three thousand, two hundred".