\[\frac{22}{3a + 1};\]
\[22 = 2 \cdot 11;\]
\[3a + 1 = 2\]
\[3a = 1\]
\[a = \frac{1}{3} - не\ натуральное\ число.\]
\[3a + 1 = 11\]
\[3a = 10\]
\[a = \frac{10}{3} - не\ натуральное\ число.\]
\[3a + 1 = 22\]
\[3a = 21\]
\[a = 7.\]
\[Ответ:при\ a = 7.\]