between means
$${\mathtt{23}}{\mathtt{\,\small\textbf+\,}}{\mathtt{24}}{\mathtt{\,\small\textbf+\,}}{\mathtt{25}}{\mathtt{\,\small\textbf+\,}}{\mathtt{26}}{\mathtt{\,\small\textbf+\,}}{\mathtt{27}}{\mathtt{\,\small\textbf+\,}}{\mathtt{28}}{\mathtt{\,\small\textbf+\,}}{\mathtt{29}}{\mathtt{\,\small\textbf+\,}}{\mathtt{30}}{\mathtt{\,\small\textbf+\,}}{\mathtt{31}}{\mathtt{\,\small\textbf+\,}}{\mathtt{32}}{\mathtt{\,\small\textbf+\,}}{\mathtt{33}}{\mathtt{\,\small\textbf+\,}}{\mathtt{34}}{\mathtt{\,\small\textbf+\,}}{\mathtt{35}}{\mathtt{\,\small\textbf+\,}}{\mathtt{36}}{\mathtt{\,\small\textbf+\,}}{\mathtt{37}}{\mathtt{\,\small\textbf+\,}}{\mathtt{38}}{\mathtt{\,\small\textbf+\,}}{\mathtt{39}}{\mathtt{\,\small\textbf+\,}}{\mathtt{40}} = {\mathtt{567}}$$
Alan and CPhill have used good techniques that would be very useful if you needed to add up a much wider range of numbers.
Say you wanted the sum of all numbers between 100 and 1650.
that would be 101+102+.......+1649.
You wouldn't add them one at a time - it would take too long!