22 × 5 × 7 × 11
1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 140, 154, 220, 308, 385, 770 and 1540
No.
Its nearest Fibonacci number neighbors are 987 and 1597.