Search a number
-
+
2221005317 is a prime number
BaseRepresentation
bin1000010001100001…
…1101101000000101
312201210012202112012
42010120131220011
514022034132232
61004215504005
7106016143106
oct20430355005
95653182465
102221005317
11a3a777193
1251b988005
132951a753b
14170d883ad
15ceeba9b2
hex8461da05

2221005317 has 2 divisors, whose sum is σ = 2221005318. Its totient is φ = 2221005316.

The previous prime is 2221005221. The next prime is 2221005349. The reversal of 2221005317 is 7135001222.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2076260356 + 144744961 = 45566^2 + 12031^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221005317 - 214 = 2220988933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2221005292 and 2221005301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2221001317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110502658 + 1110502659.

It is an arithmetic number, because the mean of its divisors is an integer number (1110502659).

Almost surely, 22221005317 is an apocalyptic number.

It is an amenable number.

2221005317 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221005317 is an equidigital number, since it uses as much as digits as its factorization.

2221005317 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 2221005317 is about 47127.5430825754. The cubic root of 2221005317 is about 1304.7176357523.

Adding to 2221005317 its reverse (7135001222), we get a palindrome (9356006539).

The spelling of 2221005317 in words is "two billion, two hundred twenty-one million, five thousand, three hundred seventeen".