224242272 has 144 divisors (see below), whose sum is σ = 674200800. Its totient is φ = 70557696.

The previous prime is 224242259. The next prime is 224242279. The reversal of 224242272 is 272242422.

224242272 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224242279) 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, 642354 + ... + 642702.

It is an arithmetic number, because the mean of its divisors is an integer number (4681950).

Almost surely, 2^224242272 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 224242272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337100400).

224242272 is an abundant number, since it is smaller than the sum of its proper divisors (449958528).

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

224242272 is a wasteful number, since it uses less digits than its factorization.

224242272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 474 counting only the distinct ones).

The product of its digits is 7168, while the sum is 27.

The square root of 224242272 is about 14974.7210992392. The cubic root of 224242272 is about 607.5366680098.

Adding to 224242272 its reverse (272242422), we get a palindrome (496484694).

The spelling of 224242272 in words is "two hundred twenty-four million, two hundred forty-two thousand, two hundred seventy-two".