242322216 has 64 divisors (see below), whose sum is σ = 644215680. Its totient is φ = 75694080.

The previous prime is 242322193. The next prime is 242322221. The reversal of 242322216 is 612223242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 103701 + ... + 106011.

It is an arithmetic number, because the mean of its divisors is an integer number (10065870).

Almost surely, 2^242322216 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 242322216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322107840).

242322216 is an abundant number, since it is smaller than the sum of its proper divisors (401893464).

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

242322216 is a wasteful number, since it uses less digits than its factorization.

242322216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2590 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 242322216 is about 15566.7021555627. The cubic root of 242322216 is about 623.4444224846. Note that the first 4 decimals are identical.

Adding to 242322216 its reverse (612223242), we get a palindrome (854545458).

The spelling of 242322216 in words is "two hundred forty-two million, three hundred twenty-two thousand, two hundred sixteen".