Search a number
-
+
224468393 is a prime number
BaseRepresentation
bin11010110000100…
…01110110101001
3120122101011202012
431120101312221
5424430442033
634135045305
75363643542
oct1530216651
9518334665
10224468393
11105785476
1263210835
1337673546
1421b514c9
1514a8e248
hexd611da9

224468393 has 2 divisors, whose sum is σ = 224468394. Its totient is φ = 224468392.

The previous prime is 224468389. The next prime is 224468411. The reversal of 224468393 is 393864422.

It is a happy number.

224468393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 180418624 + 44049769 = 13432^2 + 6637^2 .

It is a cyclic number.

It is not a de Polignac number, because 224468393 - 22 = 224468389 is a prime.

It is a super-3 number, since 3×2244683933 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 224468393.

It is not a weakly prime, because it can be changed into another prime (224468353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112234196 + 112234197.

It is an arithmetic number, because the mean of its divisors is an integer number (112234197).

Almost surely, 2224468393 is an apocalyptic number.

It is an amenable number.

224468393 is a deficient number, since it is larger than the sum of its proper divisors (1).

224468393 is an equidigital number, since it uses as much as digits as its factorization.

224468393 is an evil number, because the sum of its binary digits is even.

The product of its digits is 248832, while the sum is 41.

The square root of 224468393 is about 14982.2692873943. The cubic root of 224468393 is about 607.7408083020.

The spelling of 224468393 in words is "two hundred twenty-four million, four hundred sixty-eight thousand, three hundred ninety-three".