242420200 has 96 divisors (see below), whose sum is σ = 621522720. Its totient is φ = 87200000.

The previous prime is 242420177. The next prime is 242420209. The reversal of 242420200 is 2024242.

242420200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (242420209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221655 + ... + 222745.

It is an arithmetic number, because the mean of its divisors is an integer number (6474195).

Almost surely, 2^242420200 is an apocalyptic number.

242420200 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 242420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310761360).

242420200 is an abundant number, since it is smaller than the sum of its proper divisors (379102520).

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

242420200 is a wasteful number, since it uses less digits than its factorization.

242420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 242420200 is about 15569.8490679904. The cubic root of 242420200 is about 623.5284419463.

Adding to 242420200 its reverse (2024242), we get a palindrome (244444442).

The spelling of 242420200 in words is "two hundred forty-two million, four hundred twenty thousand, two hundred".