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227633234082108 = 223173113979037631
BaseRepresentation
bin110011110000011111111110…
…000011100111100100111100
31002211222112011110200220002120
4303300133332003213210330
5214314020330411111413
62124045133013122540
765642646513443421
oct6360377603474474
91084875143626076
10227633234082108
1166592792286a88
1221644a19629450
139a0294cc3337a
14402d716103d48
151b4b3e1e9c723
hexcf07fe0e793c

227633234082108 has 96 divisors (see below), whose sum is σ = 565617523580928. Its totient is φ = 71005405363200.

The previous prime is 227633234082097. The next prime is 227633234082169. The reversal of 227633234082108 is 801280432336722.

It is a super-2 number, since 2×2276332340821082 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20668453 + ... + 29706083.

It is an arithmetic number, because the mean of its divisors is an integer number (5891849203968).

Almost surely, 2227633234082108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227633234082108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282808761790464).

227633234082108 is an abundant number, since it is smaller than the sum of its proper divisors (337984289498820).

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

227633234082108 is a wasteful number, since it uses less digits than its factorization.

227633234082108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9038363 (or 9038361 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 51.

The spelling of 227633234082108 in words is "two hundred twenty-seven trillion, six hundred thirty-three billion, two hundred thirty-four million, eighty-two thousand, one hundred eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 311 397 622 794 933 1191 1244 1588 1866 2382 3732 4764 5287 6749 10574 13498 15861 20247 21148 26996 31722 40494 63444 80988 123467 246934 370401 493868 740802 1481604 2098939 4197878 6296817 8395756 9037631 12593634 18075262 25187268 27112893 36150524 54225786 108451572 153639727 307279454 460919181 614558908 921838362 1843676724 2810703241 3587939507 5621406482 7175879014 8432109723 10763818521 11242812964 14351758028 16864219446 21527637042 33728438892 43055274084 47781955097 60994971619 95563910194 121989943238 143345865291 182984914857 191127820388 243979886476 286691730582 365969829714 573383461164 731939659428 1115849186677 2231698373354 3347547560031 4463396746708 6695095120062 13390190240124 18969436173509 37938872347018 56908308520527 75877744694036 113816617041054 227633234082108