242055200 has 72 divisors (see below), whose sum is σ = 593118288. Its totient is φ = 96462080.

The previous prime is 242055181. The next prime is 242055263. The reversal of 242055200 is 2550242.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 354059 + ... + 354741.

It is an arithmetic number, because the mean of its divisors is an integer number (8237754).

Almost surely, 2^242055200 is an apocalyptic number.

242055200 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 242055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296559144).

242055200 is an abundant number, since it is smaller than the sum of its proper divisors (351063088).

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

242055200 is a wasteful number, since it uses less digits than its factorization.

242055200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 242055200 is about 15558.1232801389. The cubic root of 242055200 is about 623.2153462011.

The spelling of 242055200 in words is "two hundred forty-two million, fifty-five thousand, two hundred".