243131200 has 84 divisors (see below), whose sum is σ = 644329420. Its totient is φ = 89763840.

The previous prime is 243131167. The next prime is 243131219. The reversal of 243131200 is 2131342.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 20736 + 243110464 = 144^2 + 15592^2 .

It is a super-2 number, since 2×243131200² = 118225560826880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14956 + ... + 26644.

Almost surely, 2^243131200 is an apocalyptic number.

243131200 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 243131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322164710).

243131200 is an abundant number, since it is smaller than the sum of its proper divisors (401198220).

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

243131200 is a wasteful number, since it uses less digits than its factorization.

243131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11724 (or 11709 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 243131200 is about 15592.6649422092. The cubic root of 243131200 is about 624.1374341158.

Adding to 243131200 its reverse (2131342), we get a palindrome (245262542).

The spelling of 243131200 in words is "two hundred forty-three million, one hundred thirty-one thousand, two hundred".