Search a number
-
+
2229010117 is a prime number
BaseRepresentation
bin1000010011011011…
…1111111011000101
312202100021110001021
42010312333323011
514031111310432
61005103231141
7106144162525
oct20466777305
95670243037
102229010117
11a44244324
125225a84b1
13296a4abc9
1417206d685
15d0a4c697
hex84dbfec5

2229010117 has 2 divisors, whose sum is σ = 2229010118. Its totient is φ = 2229010116.

The previous prime is 2229010079. The next prime is 2229010123. The reversal of 2229010117 is 7110109222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1561356196 + 667653921 = 39514^2 + 25839^2 .

It is a cyclic number.

It is not a de Polignac number, because 2229010117 - 27 = 2229009989 is a prime.

It is a super-2 number, since 2×22290101172 = 9936972203376707378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2229010091 and 2229010100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2229010177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1114505058 + 1114505059.

It is an arithmetic number, because the mean of its divisors is an integer number (1114505059).

Almost surely, 22229010117 is an apocalyptic number.

It is an amenable number.

2229010117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2229010117 is an equidigital number, since it uses as much as digits as its factorization.

2229010117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 2229010117 is about 47212.3936800497. The cubic root of 2229010117 is about 1306.2832153150.

Adding to 2229010117 its reverse (7110109222), we get a palindrome (9339119339).

The spelling of 2229010117 in words is "two billion, two hundred twenty-nine million, ten thousand, one hundred seventeen".