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

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

  1. Halm, Michael Joseph. neologisms. Archived from the original on 2014-02-19. Retrieved 2018-02-26.

See also

Repdigit googologisms
Numbers by André Joyce
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