22 × 5 × 11 × 31
1, 2, 4, 5, 10, 11, 20, 22, 31, 44, 55, 62, 110, 124, 155, 220, 310, 341, 620, 682, 1364, 1705, 3410 and 6820
No.
Its nearest Fibonacci number neighbors are 6765 and 10946.