freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-217-balanced-numbers.english.md

---
id: 5900f4461000cf542c50ff58
challengeType: 5
isHidden: false
title: 'Problem 217: Balanced Numbers'
forumTopicId: 301859
---

## Description
<section id='description'>
A positive integer with k (decimal) digits is called balanced if its first ⌈k/2⌉ digits sum to the same value as its last ⌈k/2⌉ digits, where ⌈x⌉, pronounced ceiling of x, is the smallest integer ≥ x, thus ⌈π⌉ = 4 and ⌈5⌉ = 5.
So, for example, all palindromes are balanced, as is 13722.
Let T(n) be the sum of all balanced numbers less than 10n.
Thus: T(1) = 45, T(2) = 540 and T(5) = 334795890.
Find T(47) mod 315
</section>

## Instructions
<section id='instructions'>

</section>

## Tests
<section id='tests'>

```yml
tests:
  - text: <code>euler217()</code> should return 6273134.
    testString: assert.strictEqual(euler217(), 6273134);

```

</section>

## Challenge Seed
<section id='challengeSeed'>

<div id='js-seed'>

```js
function euler217() {
  // Good luck!
  return true;
}

euler217();
```

</div>



</section>

## Solution
<section id='solution'>

```js
// solution required
```

</section>