User:JrandWP/Twenty-twos
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Twenty-twos is equal to \(2 \lfloor 10^{20} / 9\rfloor\), or 20 copies of 2:[1]
- 22,222,222,222,222,222,222 or hypermathematically by interior superscription as \(2^{18}2\)
- googology
Its prime factorization is 2 × 11 × 41 × 101 × 271 × 3,541 × 9,091 × 27,961.
Approximations[edit]
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(2.222\times10^{19}\) | \(2.223\times10^{19}\) |
| Arrow notation | \(86\uparrow10\) | \(41\uparrow12\) |
| Steinhaus-Moser Notation | 16[3] | 17[3] |
| Copy notation | 2[20] | |
| Taro's multivariable Ackermann function | A(3,61) | A(3,62) |
| Pound-Star Notation | #*(6,4,4)*6 | #*(2,3,2,3)*4 |
| BEAF | {86,10} | {41,12} |
| Hyper-E notation | 2E19 | 3E19 |
| Bashicu matrix system | (0)(0)[68658] | (0)(0)[68659] |
| Hyperfactorial array notation | 20! | 21! |
| Fast-growing hierarchy | \(f_2(58)\) | \(f_2(59)\) |
| Hardy hierarchy | \(H_{\omega^2}(58)\) | \(H_{\omega^2}(59)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega+5}10}(12)\) | \(g_{\omega^{\omega+7}4}(11)\) |
Sources[edit]
- ^ Halm, Michael Joseph. "neologisms". Archived from the original on 2014-02-19. Retrieved 2018-02-26.
See also[edit]
Numbers by Andre Joyce