242331200 has 84 divisors (see below), whose sum is σ = 599431872. Its totient is φ = 96422400.

The previous prime is 242331169. The next prime is 242331239. The reversal of 242331200 is 2133242.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 497357 + ... + 497843.

Almost surely, 2^242331200 is an apocalyptic number.

242331200 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 242331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299715936).

242331200 is an abundant number, since it is smaller than the sum of its proper divisors (357100672).

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

242331200 is a wasteful number, since it uses less digits than its factorization.

242331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 805 counting only the distinct ones).

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

The square root of 242331200 is about 15566.9907175408. The cubic root of 242331200 is about 623.4521270409.

Adding to 242331200 its reverse (2133242), we get a palindrome (244464442).

The spelling of 242331200 in words is "two hundred forty-two million, three hundred thirty-one thousand, two hundred".