224305242 has 48 divisors (see below), whose sum is σ = 552562560. Its totient is φ = 60316032.

The previous prime is 224305199. The next prime is 224305247. The reversal of 224305242 is 242503422.

It is a happy number.

224305242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224305247) 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, 17442 + ... + 27437.

It is an arithmetic number, because the mean of its divisors is an integer number (11511720).

Almost surely, 2^224305242 is an apocalyptic number.

224305242 is an abundant number, since it is smaller than the sum of its proper divisors (328257318).

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

224305242 is a wasteful number, since it uses less digits than its factorization.

224305242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44915 (or 44908 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 224305242 is about 14976.8234949872. The cubic root of 224305242 is about 607.5935306212.

Adding to 224305242 its reverse (242503422), we get a palindrome (466808664).

It can be divided in two parts, 22430 and 5242, that added together give a palindrome (27672).

The spelling of 224305242 in words is "two hundred twenty-four million, three hundred five thousand, two hundred forty-two".