22 × 5 × 31 × 61
1, 2, 4, 5, 10, 20, 31, 61, 62, 122, 124, 155, 244, 305, 310, 610, 620, 1220, 1891, 3782, 7564, 9455, 18910 and 37820
No.
Its nearest Fibonacci number neighbors are 28657 and 46368.