22 × 132 × 229 × 911
1, 2, 4, 13, 26, 52, 169, 229, 338, 458, 676, 911, 916, 1822, 2977, 3644, 5954, 11843, 11908, 23686, 38701, 47372, 77402, 153959, 154804, 208619, 307918, 417238, 615836, 834476, 2712047, 5424094, 10848188, 35256611, 70513222 and 141026444
No.
Its nearest Fibonacci number neighbors are 102334155 and 165580141.