22 × 67 × 181 × 4513
1, 2, 4, 67, 134, 181, 268, 362, 724, 4513, 9026, 12127, 18052, 24254, 48508, 302371, 604742, 816853, 1209484, 1633706, 3267412, 54729151, 109458302 and 218916604
No.
Its nearest Fibonacci number neighbors are 165580141 and 267914296.