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14820122226 = 2372138214723
BaseRepresentation
bin11011100110101100…
…10001111001110010
31102020211200012202210
431303112101321302
5220322422402401
610450330352550
71033153650300
oct156326217162
942224605683
1014820122226
1163156331a8
122a5728b756
1315224b89c0
14a0839d270
155bb1324d6
hex373591e72

14820122226 has 96 divisors (see below), whose sum is σ = 37184833728. Its totient is φ = 3903016320.

The previous prime is 14820122131. The next prime is 14820122269. The reversal of 14820122226 is 62222102841.

It is a junction number, because it is equal to n+sod(n) for n = 14820122193 and 14820122202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3135501 + ... + 3140223.

It is an arithmetic number, because the mean of its divisors is an integer number (387342018).

Almost surely, 214820122226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14820122226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18592416864).

14820122226 is an abundant number, since it is smaller than the sum of its proper divisors (22364711502).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14820122226 is a wasteful number, since it uses less digits than its factorization.

14820122226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5576 (or 5569 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 14820122226 in words is "fourteen billion, eight hundred twenty million, one hundred twenty-two thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 546 637 821 1274 1642 1911 2463 3822 4723 4926 5747 9446 10673 11494 14169 17241 21346 28338 32019 33061 34482 40229 61399 64038 66122 74711 80458 99183 120687 122798 149422 184197 198366 224133 231427 241374 368394 429793 448266 462854 522977 694281 859586 1045954 1289379 1388562 1568931 2578758 3008551 3137862 3877583 6017102 7755166 9025653 11632749 18051306 23265498 27143081 50408579 54286162 81429243 100817158 151225737 162858486 190001567 302451474 352860053 380003134 570004701 705720106 1058580159 1140009402 2117160318 2470020371 4940040742 7410061113 14820122226