242305200 has 90 divisors (see below), whose sum is σ = 840878844. Its totient is φ = 64613760.

The previous prime is 242305171. The next prime is 242305213. The reversal of 242305200 is 2503242.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 30054 + ... + 37253.

Almost surely, 2^242305200 is an apocalyptic number.

242305200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242305200 is an abundant number, since it is smaller than the sum of its proper divisors (598573644).

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

242305200 is a wasteful number, since it uses less digits than its factorization.

242305200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67331 (or 67317 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 242305200 is about 15566.1555947511. The cubic root of 242305200 is about 623.4298292723.

Adding to 242305200 its reverse (2503242), we get a palindrome (244808442).

The spelling of 242305200 in words is "two hundred forty-two million, three hundred five thousand, two hundred".