242353200 has 60 divisors (see below), whose sum is σ = 776341928. Its totient is φ = 64627200.

The previous prime is 242353193. The next prime is 242353217. The reversal of 242353200 is 2353242.

It is a tau number, because it is divible by the number of its divisors (60).

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, 99781 + ... + 102180.

Almost surely, 2^242353200 is an apocalyptic number.

242353200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242353200 is an abundant number, since it is smaller than the sum of its proper divisors (533988728).

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

242353200 is a wasteful number, since it uses less digits than its factorization.

242353200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201982 (or 201971 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 242353200 is about 15567.6973249097. The cubic root of 242353200 is about 623.4709931378.

The spelling of 242353200 in words is "two hundred forty-two million, three hundred fifty-three thousand, two hundred".