Search a number
-
+
2224422337 is a prime number
BaseRepresentation
bin1000010010010101…
…1111110111000001
312202000122100210111
42010211133313001
514023423003322
61004421031321
7106060164214
oct20445376701
95660570714
102224422337
11a416a0475
12520b55541
13295b02947
141715d777b
15d0443177
hex8495fdc1

2224422337 has 2 divisors, whose sum is σ = 2224422338. Its totient is φ = 2224422336.

The previous prime is 2224422281. The next prime is 2224422353. The reversal of 2224422337 is 7332244222.

2224422337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1510410496 + 714011841 = 38864^2 + 26721^2 .

It is a cyclic number.

It is not a de Polignac number, because 2224422337 - 219 = 2223898049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2224422299 and 2224422308.

It is not a weakly prime, because it can be changed into another prime (2224422367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1112211168 + 1112211169.

It is an arithmetic number, because the mean of its divisors is an integer number (1112211169).

Almost surely, 22224422337 is an apocalyptic number.

It is an amenable number.

2224422337 is a deficient number, since it is larger than the sum of its proper divisors (1).

2224422337 is an equidigital number, since it uses as much as digits as its factorization.

2224422337 is an evil number, because the sum of its binary digits is even.

The product of its digits is 32256, while the sum is 31.

The square root of 2224422337 is about 47163.7820472447. The cubic root of 2224422337 is about 1305.3863962507.

Adding to 2224422337 its reverse (7332244222), we get a palindrome (9556666559).

The spelling of 2224422337 in words is "two billion, two hundred twenty-four million, four hundred twenty-two thousand, three hundred thirty-seven".