242432200 has 48 divisors (see below), whose sum is σ = 564696000. Its totient is φ = 96793920.

The previous prime is 242432171. The next prime is 242432209. The reversal of 242432200 is 2234242.

242432200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×242432200³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (242432209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183141 + ... + 184459.

It is an arithmetic number, because the mean of its divisors is an integer number (11764500).

Almost surely, 2^242432200 is an apocalyptic number.

242432200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242432200 is an abundant number, since it is smaller than the sum of its proper divisors (322263800).

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

242432200 is a wasteful number, since it uses less digits than its factorization.

242432200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 242432200 is about 15570.2344234119. The cubic root of 242432200 is about 623.5387301674.

Adding to 242432200 its reverse (2234242), we get a palindrome (244666442).

The spelling of 242432200 in words is "two hundred forty-two million, four hundred thirty-two thousand, two hundred".