22. Let A be a 3 × 3 matrix such that A + A^T = O. If $$ A \begin{bmatrix} 1 \\ -1 \\ 0 \end{bmatrix} = \begin{bmatrix} 3 \\ 3 \\ 2 \end{bmatrix}, \quad A^2 \begin{bmatrix} 1 \\ -1 \\ 1 \end{bmatrix} = \begin{bmatrix} -3 \\ 19 \\ -24 \end{bmatrix} $$ and $$ \det(\text{adj}(2\text{adj}(A + I))) = (2)^\alpha (3)^\beta (11)^\gamma $$ , α, β, γ are non-negative integers, then α + β + γ is equal to ______.