Expected maximum of exponential transforms

Let $X_1,X_2,…,X_{10}$ be a random sample from the $\mathrm{Exp}(1)$ distribution. Define $W=\max\{e^{-X_1},e^{-X_2},…,e^{-X_{10}}\}$. Then the value of $22E(W)$ is equal to __________ (answer in integer)