22 × 11 × 113 × 233
1, 2, 4, 11, 22, 44, 113, 226, 233, 452, 466, 932, 1243, 2486, 2563, 4972, 5126, 10252, 26329, 52658, 105316, 289619, 579238 and 1158476
No.
Its nearest Fibonacci number neighbors are 832040 and 1346269.