242232216 has 64 divisors (see below), whose sum is σ = 639360000. Its totient is φ = 76265856.

The previous prime is 242232187. The next prime is 242232227. The reversal of 242232216 is 612232242.

It is a happy number.

242232216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 a congruent number.

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, 217870 + ... + 218978.

It is an arithmetic number, because the mean of its divisors is an integer number (9990000).

Almost surely, 2^242232216 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 242232216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319680000).

242232216 is an abundant number, since it is smaller than the sum of its proper divisors (397127784).

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

242232216 is a wasteful number, since it uses less digits than its factorization.

242232216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1612 counting only the distinct ones).

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

The square root of 242232216 is about 15563.8111013980. The cubic root of 242232216 is about 623.3672291963.

Adding to 242232216 its reverse (612232242), we get a palindrome (854464458).

The spelling of 242232216 in words is "two hundred forty-two million, two hundred thirty-two thousand, two hundred sixteen".