22 × 89 × 199 × 9901
1, 2, 4, 89, 178, 199, 356, 398, 796, 9901, 17711, 19802, 35422, 39604, 70844, 881189, 1762378, 1970299, 3524756, 3940598, 7881196, 175356611, 350713222 and 701426444
No.
Its nearest Fibonacci number neighbors are 701408733 and 1134903170.