242724200 has 48 divisors (see below), whose sum is σ = 583807500. Its totient is φ = 93739520.

The previous prime is 242724191. The next prime is 242724211. The reversal of 242724200 is 2427242.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 133772356 + 108951844 = 11566^2 + 10438^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15125 + ... + 26724.

Almost surely, 2^242724200 is an apocalyptic number.

242724200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242724200 is an abundant number, since it is smaller than the sum of its proper divisors (341083300).

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

242724200 is a wasteful number, since it uses less digits than its factorization.

242724200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41894 (or 41885 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 23.

The square root of 242724200 is about 15579.6084674808. The cubic root of 242724200 is about 623.7889723080.

Multiplying 242724200 by its reverse (2427242), we get a square (589150372656400 = 24272420²).

242724200 divided by its reverse (2427242) gives a square (100 = 10²).

The spelling of 242724200 in words is "two hundred forty-two million, seven hundred twenty-four thousand, two hundred".