242113600 has 63 divisors (see below), whose sum is σ = 597286207. Its totient is φ = 96596480.

The previous prime is 242113589. The next prime is 242113601. The reversal of 242113600 is 6311242.

The square root of 242113600 is 15560.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 40246336 + 201867264 = 6344^2 + 14208^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242113601) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 622206 + ... + 622594.

Almost surely, 2^242113600 is an apocalyptic number.

242113600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

242113600 is the 15560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242113600

242113600 is an abundant number, since it is smaller than the sum of its proper divisors (355172607).

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

242113600 is an frugal number, since it uses more digits than its factorization.

242113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The cubic root of 242113600 is about 623.2654626615.

Adding to 242113600 its reverse (6311242), we get a palindrome (248424842).

The spelling of 242113600 in words is "two hundred forty-two million, one hundred thirteen thousand, six hundred".