school has more than 22,000 but not more than 25,000 registered students, among whom (1/3) are first-grade students, (2/7) are second-grade students, (1/5) are third-grade students, and the rest They are fourth-grade students. In the list of students in the Department of Mathematics, first-grade students account for 1/40 of the whole school's first-grade students, second-grade students account for 1/16 of the whole school's second-grade students, and third-grade students account for the entire school's third-grade students. (1/9) of the students, and the fourth grade students account for (1/3) of the fourth grade students in the whole school, so how many students are there in the Department of Mathematics?
某学校在校注册学生超过22000而不超过25000人，其中(1/3)是一年级的学生，(2/7)是二年级的学生，(1/5)是三年级的学生，余下的是四年级的学生，在数学系学生名单中，一年级学生占全校一年级学生的(1/40)，二年级学生占全校二年级学生的(1/16)，三年级学生占全校三年级学生的(1/9)，四年级学生占全校四年级学生的(1/3)，则数学系共有学生多少人．
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">1 / 40</gadget>
<output>1/40 = around 0.025</output>

<gadget id="calculator">20_160 * (1/3) * (1/40)</gadget>
<output>168</output>

<gadget id="calculator">2 / 7</gadget>
<output>2/7 = around 0.285714</output>

<gadget id="calculator">1 / 16</gadget>
<output>1/16 = around 0.0625</output>

<gadget id="calculator">20_160 * (2/7) * (1/16)</gadget>
<output>360</output>

<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>

<gadget id="calculator">1 / 9</gadget>
<output>1/9 = around 0.111111</output>

<gadget id="calculator">20_160 * (1/5) * (1/9)</gadget>
<output>448</output>

<gadget id="calculator">1 - (1/3) - (2/7) - (1/5)</gadget>
<output>19/105 = around 0.180952</output>

<gadget id="calculator">20_160 * (19/105) * (1/3)</gadget>
<output>1_216</output>

<gadget id="calculator">168 + 360 + 448 + 1_216</gadget>
<output>2_192</output>

<result>2_192</result>