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218917308996 = 223229226892
BaseRepresentation
bin1100101111100001111…
…1010000101001000100
3202221001201112112220100
43023320133100221010
512041320312341441
6244322541404100
721546655265241
oct3137037205104
9687051475810
10218917308996
118492a128471
1236516b69630
131784a5c6739
14a84a6925c8
155a64127cb6
hex32f87d0a44

218917308996 has 81 divisors (see below), whose sum is σ = 573327389271. Its totient is φ = 70429943808.

The previous prime is 218917308959. The next prime is 218917309043. The reversal of 218917308996 is 699803719812.

The square root of 218917308996 is 467886.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 63712827396 + 155204481600 = 252414^2 + 393960^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 81410820 + ... + 81413508.

Almost surely, 2218917308996 is an apocalyptic number.

218917308996 is the 467886-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218917308996

218917308996 is an abundant number, since it is smaller than the sum of its proper divisors (354410080275).

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

218917308996 is an equidigital number, since it uses as much as digits as its factorization.

218917308996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5446 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 218917308996 in words is "two hundred eighteen billion, nine hundred seventeen million, three hundred eight thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 841 1044 1682 2523 2689 3364 5046 5378 7569 8067 10092 10756 15138 16134 24201 30276 32268 48402 77981 96804 155962 233943 311924 467886 701829 935772 1403658 2261449 2807316 4522898 6784347 7230721 9045796 13568694 14461442 20353041 21692163 27137388 28922884 40706082 43384326 65076489 81412164 86768652 130152978 209690909 260305956 419381818 629072727 838763636 1258145454 1887218181 2516290908 3774436362 6081036361 7548872724 12162072722 18243109083 24324145444 36486218166 54729327249 72972436332 109458654498 218917308996