A natural number leaves 2 when divided by 3, 2 when divided by 5, 5 when divided by 9 and 5, and 4 when divided by 11. What is the smallest natural number that satisfies these conditions?
一个自然数除以3余2，除以5余2，除以7余5，除以9与5，除以11余4，则满足这些条件的最小自然数是多少．
<gadget id="calculator">3 * 5</gadget>
<output>15</output>

<gadget id="calculator">2 + 15</gadget>
<output>17</output>

<gadget id="calculator">15 * 2</gadget>
<output>30</output>

<gadget id="calculator">17 + 30</gadget>
<output>47</output>

<gadget id="calculator">105 * 2</gadget>
<output>210</output>

<gadget id="calculator">47 + 210</gadget>
<output>257</output>

<result>257</result>