242004224 has 72 divisors (see below), whose sum is σ = 602309568. Its totient is φ = 94279680.

The previous prime is 242004221. The next prime is 242004239. The reversal of 242004224 is 422400242.

It is a junction number, because it is equal to n+sod(n) for n = 242004196 and 242004205.

It is not an unprimeable number, because it can be changed into a prime (242004221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13574 + ... + 25850.

Almost surely, 2^242004224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301154784).

242004224 is an abundant number, since it is smaller than the sum of its proper divisors (360305344).

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

242004224 is a wasteful number, since it uses less digits than its factorization.

242004224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12311 (or 12297 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 242004224 is about 15556.4849500136. The cubic root of 242004224 is about 623.1715941204.

Adding to 242004224 its reverse (422400242), we get a palindrome (664404466).

The spelling of 242004224 in words is "two hundred forty-two million, four thousand, two hundred twenty-four".