Search a number
-
+
2221050641 is a prime number
BaseRepresentation
bin1000010001100010…
…1000101100010001
312201210022001200212
42010120220230101
514022042110031
61004220453505
7106016422205
oct20430505421
95653261625
102221050641
11a3a7a8247
1251b9aa295
132951c2064
14170d9ab05
15ceec912b
hex84628b11

2221050641 has 2 divisors, whose sum is σ = 2221050642. Its totient is φ = 2221050640.

The previous prime is 2221050617. The next prime is 2221050649. The reversal of 2221050641 is 1460501222.

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., 1805910016 + 415140625 = 42496^2 + 20375^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2221050641 is a prime.

It is not a weakly prime, because it can be changed into another prime (2221050649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110525320 + 1110525321.

It is an arithmetic number, because the mean of its divisors is an integer number (1110525321).

Almost surely, 22221050641 is an apocalyptic number.

It is an amenable number.

2221050641 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221050641 is an equidigital number, since it uses as much as digits as its factorization.

2221050641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 2221050641 is about 47128.0239454191. The cubic root of 2221050641 is about 1304.7265108053.

Adding to 2221050641 its reverse (1460501222), we get a palindrome (3681551863).

The spelling of 2221050641 in words is "two billion, two hundred twenty-one million, fifty thousand, six hundred forty-one".