23 × 52 × 11
1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 88, 100, 110, 200, 220, 275, 440, 550, 1100 and 2200
No.
Its nearest Fibonacci number neighbors are 1597 and 2584.