22 × 5 × 7 × 23
1, 2, 4, 5, 7, 10, 14, 20, 23, 28, 35, 46, 70, 92, 115, 140, 161, 230, 322, 460, 644, 805, 1610 and 3220
No.
Its nearest Fibonacci number neighbors are 2584 and 4181.