Search a number
balanced n.  and  modest n.

First numbers that belong to both sets:

19, 49, 209, 266, 412, 555, 611, 618, 622, 654, 666, 709, 721, 809, 812, 818, 824, 844, 866, 872, 899, 1022, 2022, 2054, 2127, 2163, 2199, 2222, 2233, 2266, 2333, 2454, 2488, 2499, 2575, 2599, 2666, 2678, 2699, 2842, 2844, 2866, 3009, 3099, 3111, 3244, 3288, 3466, 3654, 3666, 3681, 3857, 6799, 7027, 7099, 7189, 7499, 7799, 8399, 8444, 8599, 8666, 8999, 9037, 9099, 9299, 9333, 9499, 9699, 9799, 10003, 10009, 10033, 10054, 10333, 10666, 11027, 11033, 11111, 12037, 12162, 13333, 13351, 13481, 14018, 14027, 14111, 14666, 15135, 16111, 16144, 18162, 18222, 18999, 20022, 20148, 20370, 24108, 30222, 33999, 34037, 34222, 34459, 34666, 34999, 35037, 35045, 35185, 35189, 35555, 36054, 36074, 36081, 36111, 36243, 36324, 36444, 37333, 38074, 38171, 38222, 38342, 38513, 38999, 39111, 39117, 39333, 39481, 40011, 40022, 40044, 40090, 40099, 40101, 40108, 40120, 40148, 40270, 40296, 40360, 40740, 41212, 41333, 41818, 42063, 42189, 42567, 42666, 42777, 43111, 43129, 43636, 44148, 44198, 44594, 45111, 45135, 46138, 46222, 46666, 46851, 48216, 48296, 48324, 48432, 50009, 50033, 50055, 50074, 50090, 50270, 50333, 51081, 52108, 53477, 54162, 54666, 56074, 56084, 56333, 58522, 58666, 59531, 60066, 60180, 60444, 60740, 63777, 64072, 64096, 64144, 64192, 64288, 64592, 131999, 134333, 134603, 136153, 136444, 136629, 136666, 136918, 136999, 137999, 138162, 138333, 138414, 138666, 138851, 140021, 140022, 140063, 140126, 140154, 140189, 140231, 140252, 140259, 140540, 140606, 140666, 140777, 140909, 140999, 141423, 142222, 143297, 144242, 146657, 148333, 148444, 149333, 150222, 150450, 150925, 151111, 151333, 152171, 152222, 152727, 154189, 154198, 154259, 154777, 155185, 155837, 156222, 156333, 156999, 157333, 158237, 160099, 160101, 160180, 160198, 160202, 160216, 160240, 160333, 160370, 160540, 160720, 160888, 160909, 161584, 161616, 163333, 164222, 164333, 165333, 165407, 165555, 165891, 165999, 166999, 167333, 167501, 167999, 168378, 168666.

Some larger examples :