### About the Number 2300 (two thousand three hundred)

This nBAB about the number `2300` was the BAB# `2300`. It was posted on 28 May 2009, which just happened to be MathBabbler's 52nd birthday.

```   MathBabbler Number Analyst (MBNA) output:
=========================================
2300 is a natural, whole, integer
2300 is even
2300 proper divisors are: 1,2,4,5,10,20,23,25,46,50,92,100,
115,230,460,575,1150
2300 is abundant (sum of divisors is 2908)
2300 is happy
2300 is not prime
2300 has the prime factors: 2*2*5*5*23 (sum=37)
2300 sum of prime factors is: 37
2300 and 2299 are a Ruth-Aaron pair (distinct prime factors)
2300 in octal is 04374
2300 in binary is 100011111100 (is odious)
2300 nearest square numbers: -91...4 (2209 [47]...2304 [48])
sqrt(2300) = 47.9583
ln(2300) = 7.74066
log(2300) = 3.36173
2300 reciprocal is .00043478260869565217391304347826
2300 is an apocalyptic power
2300! is inf
2300 is 732.113 Pi years
2300 is 115 scoreyears
2300 written as a Roman numeral is MMCCC
```

WolframAlpha.com and NumberGossip.com reported that `2300` is a Tetrahedral (or pyramidal)number.

The first few Tetrahedral numbers are...

```   1, 4, 10, 20, 35, 56, 84, 120, 165, 220, 286,
364, 455, 560, 680, 816, 969, ...
```

Wolfram|Alpha says `2300` is the 23rd Tetrahedral number.

```   Tn = (n(n + 1)(n + 2)) / 6
T23 = (23(23 + 1)(23 + 2)) / 6
T23 = (23(24)(25)) / 6
T23 = 2300
```

OEIS.org::id:A000292

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 28 May 2009