Twenty-three and thirty-two hundredths.
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2332 = MMCCCXXXII
2233 2323 2332 3232 3223 3322
16 if you can use only 2 on one and only 3 on one, but if not, then 14. Use the binary system to find this out for future numbers, ie 1000, 1001, 1010, 1011...so on. 2222 2223 2232 2233 2322 2323 2332 2333 3222 3223 3232 3233 3322 3323 3332 3333
Starting from midnight, and assuming (a) it displays all four digits and (b) it displays in 24-hour format - there are 16 palindromic times... 0000 0110 0220 0330 0440 0550 1001 1111 1221 1331 1441 1551 2002 2112 2222 2332
22, 44, 66, 88, 110, 132, 154, 176, 198, 220, 242, 264, 286, 308, 330, 352, 374, 396, 418, 440, 462, 484, 506, 528, 550, 572, 594, 616, 638, 660, 682, 704, 726, 748, 770, 792, 814, 836, 858, 880, 902, 924, 946, 968, 990, 1012, 1034, 1056, 1078, 1100, 1122, 1144, 1166, 1188, 1210, 1232, 1254, 1276, 1298, 1320, 1342, 1364, 1386, 1408, 1430, 1452, 1474, 1496, 1518, 1540, 1562, 1584, 1606, 1628, 1650, 1672, 1694, 1716, 1738, 1760, 1782, 1804, 1826, 1848, 1870, 1892, 1914, 1936, 1958, 1980, 2002, 2024, 2046, 2068, 2090, 2112, 2134, 2156, 2178, 2200, 2222, 2244, 2266, 2288, 2310, 2332, 2354, 2376, 2398, 2420, 2442, 2464, 2486, 2508, 2530, 2552, 2574, 2596, 2618, 2640, 2662, 2684, 2706, 2728, 2750, 2772, 2794, 2816, 2838, 2860, 2882, 2904, 2926, 2948, 2970, 2992, 3014, 3036, 3058, 3080, 3102, 3124, 3146, 3168, 3190, 3212, 3234, 3256, 3278, 3300, 3322, 3344, 3366, 3388, 3410, 3432, 3454, 3476, 3498, 3520, 3542, 3564, 3586, 3608, 3630, 3652, 3674, 3696, 3718, 3740, 3762, 3784, 3806, 3828, 3850, 3872, 3894, 3916, 3938, 3960, 3982, 4004, 4026, 4048, 4070, 4092, 4114, 4136, 4158, 4180, 4202, 4224, 4246, 4268, 4290, 4312, 4334, 4356, 4378, 4400, 4422, 4444, 4466, 4488, 4510, 4532, 4554, 4576, 4598, 4620, 4642, 4664, 4686, 4708, 4730, 4752, 4774, 4796, 4818, 4840, 4862, 4884, 4906, 4928, 4950, 4972, 4994, 5016, 5038, 5060, 5082, 5104, 5126, 5148, 5170, 5192, 5214, 5236, 5258, 5280, 5302, 5324, 5346, 5368, 5390, 5412, 5434, 5456, 5478, 5500, 5522, 5544, 5566, 5588, 5610, 5632, 5654, 5676, 5698, 5720, 5742, 5764, 5786, 5808, 5830, 5852, 5874, 5896, 5918, 5940, 5962, 5984, 6006, 6028, 6050, 6072, 6094, 6116, 6138, 6160, 6182, 6204, 6226, 6248, 6270, 6292, 6314, 6336, 6358, 6380, 6402, 6424, 6446, 6468, 6490, 6512, 6534, 6556, 6578, 6600, 6622, 6644, 6666, 6688, 6710, 6732, 6754, 6776, 6798, 6820, 6842, 6864, 6886, 6908, 6930, 6952, 6974, 6996, 7018, 7040, 7062, 7084, 7106, 7128, 7150, 7172, 7194, 7216, 7238, 7260, 7282, 7304, 7326, 7348, 7370, 7392, 7414, 7436, 7458, 7480, 7502, 7524, 7546, 7568, 7590, 7612, 7634, 7656, 7678, 7700, 7722, 7744, 7766, 7788, 7810, 7832, 7854, 7876, 7898, 7920, 7942, 7964, 7986, 8008, 8030, 8052, 8074, 8096, 8118, 8140, 8162, 8184, 8206, 8228, 8250, 8272, 8294, 8316, 8338, 8360, 8382, 8404, 8426, 8448, 8470, 8492, 8514, 8536, 8558, 8580, 8602, 8624, 8646, 8668, 8690, 8712, 8734, 8756, 8778, 8800, 8822, 8844, 8866, 8888, 8910, 8932, 8954, 8976, 8998, 9020, 9042, 9064, 9086, 9108, 9130, 9152, 9174, 9196, 9218, 9240, 9262, 9284, 9306, 9328, 9350, 9372, 9394, 9416, 9438, 9460, 9482, 9504, 9526, 9548, 9570, 9592, 9614, 9636, 9658, 9680, 9702, 9724, 9746, 9768, 9790, 9812, 9834, 9856, 9878, 9900, 9922, 9944, 9966, 9988, 10010, 10032, 10054, 10076, 10098, 10120, 10142, 10164, 10186, 10208, 10230, 10252, 10274, 10296, 10318, 10340, 10362, 10384, 10406, 10428, 10450, 10472, 10494, 10516, 10538, 10560, 10582, 10604, 10626, 10648, 10670, 10692, 10714, 10736, 10758, 10780, 10802, 10824, 10846, 10868, 10890, 10912, 10934, 10956, 10978, 11000.