22 × 5 × 11 × 61
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 61, 110, 122, 220, 244, 305, 610, 671, 1220, 1342, 2684, 3355, 6710 and 13420
No.
Its nearest Fibonacci number neighbors are 10946 and 17711.