242643200 has 108 divisors (see below), whose sum is σ = 620460288. Its totient is φ = 93849600.

The previous prime is 242643199. The next prime is 242643229. The reversal of 242643200 is 2346242.

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, 197789 + ... + 199011.

Almost surely, 2^242643200 is an apocalyptic number.

242643200 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 242643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310230144).

242643200 is an abundant number, since it is smaller than the sum of its proper divisors (377817088).

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

242643200 is a wasteful number, since it uses less digits than its factorization.

242643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 242643200 is about 15577.0086987200. The cubic root of 242643200 is about 623.7195759475.

Adding to 242643200 its reverse (2346242), we get a palindrome (244989442).

The spelling of 242643200 in words is "two hundred forty-two million, six hundred forty-three thousand, two hundred".