242302224 has 60 divisors (see below), whose sum is σ = 664971824. Its totient is φ = 76012032.

The previous prime is 242302223. The next prime is 242302237. The reversal of 242302224 is 422203242.

It is a self number, because there is not a number n which added to its sum of digits gives 242302224.

It is not an unprimeable number, because it can be changed into a prime (242302223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5139 + ... + 22605.

Almost surely, 2^242302224 is an apocalyptic number.

242302224 is a gapful number since it is divisible by the number (24) 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 242302224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332485912).

242302224 is an abundant number, since it is smaller than the sum of its proper divisors (422669600).

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

242302224 is a wasteful number, since it uses less digits than its factorization.

242302224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17512 (or 17489 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 242302224 is about 15566.0600024541. The cubic root of 242302224 is about 623.4272769336.

Adding to 242302224 its reverse (422203242), we get a palindrome (664505466).

The spelling of 242302224 in words is "two hundred forty-two million, three hundred two thousand, two hundred twenty-four".