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If 12+22+32+⋯+122=6501^2 + 2^2 + 3^2 + \cdots + 12^2 = 65012+22+32+⋯+122=650, then find the value of 22+42+62+⋯+2422^2 + 4^2 + 6^2 + \cdots + 24^222+42+62+⋯+242.
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