How many digits

2^1224 =2.888781490e+368 =369 digits.

how many digits does 2^1224 have

Number of precomma places:

$\begin{array}{|rcll|} \hline && \lfloor 1 + \log_{10}{(2^{1224})} \rfloor \\ &=& \lfloor 1 + 1224\cdot \log_{10}{(2)} \rfloor \quad & | \quad \log_{10}{(2)} = 0.30102999566 \\ &=& \lfloor 1 + 1224\cdot 0.30102999566 \rfloor \\ &=& \lfloor 1 + 368.460714693 \rfloor \\ &=& \lfloor 369.460714693 \rfloor \\ &=& 369 \\ \hline \end{array}$

2¹²²⁴ has 369 digits