242099600 has 30 divisors (see below), whose sum is σ = 581645250. Its totient is φ = 96839680.

The previous prime is 242099581. The next prime is 242099617. The reversal of 242099600 is 6990242.

It can be written as a sum of positive squares in 3 ways, for example, as 67436944 + 174662656 = 8212^2 + 13216^2 .

It is a super-2 number, since 2×242099600² = 117224432640320000, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 302225 + ... + 303024.

It is an arithmetic number, because the mean of its divisors is an integer number (19388175).

Almost surely, 2^242099600 is an apocalyptic number.

242099600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242099600 is an abundant number, since it is smaller than the sum of its proper divisors (339545650).

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

242099600 is a wasteful number, since it uses less digits than its factorization.

242099600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605267 (or 605256 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 242099600 is about 15559.5501220312. The cubic root of 242099600 is about 623.2534491760.

The spelling of 242099600 in words is "two hundred forty-two million, ninety-nine thousand, six hundred".