The number wants a perfect square between 1950 and 2350, i.e., a number which you can square root to get a whole number.
Note that 40^2 = 1600 and 50^2 = 2500
Thus, your number must be between 40 and 50.
41^2 = 1681
42^2 = 1761
43^2 = 1849
44^2 = 1936
45^2 = 2025
46^2 = 2116
47^2 = 2209
48^2 = 2304
49^2 = 2401
Hence, 2025, 2116, 2209, 2304 are all possible numbers, since they are all perfect squares and are between 1950 and 2350.