22 × 11 × 23 × 167
1, 2, 4, 11, 22, 23, 44, 46, 92, 167, 253, 334, 506, 668, 1012, 1837, 3674, 3841, 7348, 7682, 15364, 42251, 84502 and 169004
No.
Its nearest Fibonacci number neighbors are 121393 and 196418.