214 × 11
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 256, 352, 512, 704, 1024, 1408, 2048, 2816, 4096, 5632, 8192, 11264, 16384, 22528, 45056, 90112 and 180224
No.
Its nearest Fibonacci number neighbors are 121393 and 196418.