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220202272137796 = 2213443210212
BaseRepresentation
bin110010000100010111010110…
…001101011010001001000100
31001212200010112221210210211021
4302010113112031122021010
5212330243223131402141
62100155305521320524
764245042403212034
oct6204272615321104
91055603487723737
10220202272137796
1164188293a62313
1220844813496144
1395b3ca6530000
143c53bbda1b8c4
151a6ce76ab56d1
hexc845d635a244

220202272137796 has 135 divisors (see below), whose sum is σ = 427818985838433. Its totient is φ = 99171060730560.

The previous prime is 220202272137779. The next prime is 220202272137973. The reversal of 220202272137796 is 697731272202022.

The square root of 220202272137796 is 14839214.

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

It can be written as a sum of positive squares in 7 ways, for example, as 218551458312196 + 1650813825600 = 14783486^2 + 1284840^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 215673135766 + ... + 215673136786.

Almost surely, 2220202272137796 is an apocalyptic number.

220202272137796 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

220202272137796 is the 14839214-th square number.

It is an amenable number.

220202272137796 is a deficient number, since it is larger than the sum of its proper divisors (207616713700637).

220202272137796 is an frugal number, since it uses more digits than its factorization.

220202272137796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 52.

The spelling of 220202272137796 in words is "two hundred twenty trillion, two hundred two billion, two hundred seventy-two million, one hundred thirty-seven thousand, seven hundred ninety-six".

Divisors: 1 2 4 13 26 43 52 86 169 172 338 559 676 1021 1118 1849 2042 2197 2236 3698 4084 4394 7267 7396 8788 13273 14534 24037 26546 28561 29068 43903 48074 53092 57122 87806 94471 96148 114244 172549 175612 188942 312481 345098 377884 570739 624962 690196 1042441 1141478 1228123 1249924 1887829 2084882 2243137 2282956 2456246 3775658 4062253 4169764 4486274 4912492 7419607 7551316 8124506 8972548 13551733 14839214 16249012 24541777 27103466 29160781 29678428 44824963 49083554 52809289 54206932 58321562 89649926 96454891 98167108 105618578 116643124 176172529 179299852 192909782 211237156 319043101 352345058 385819564 582724519 638086202 704690116 1165449038 1253913583 1276172404 1927473409 2290242877 2330898076 2507827166 3854946818 4147560313 4580485754 5015654332 7575418747 7709893636 8295120626 9160971508 15150837494 16590241252 25057154317 29773157401 30301674988 50114308634 53918284069 59546314802 98480443711 100228617268 107836568138 119092629604 196960887422 215673136276 325743006121 393921774844 651486012242 1280245768243 1302972024484 2560491536486 4234659079573 5120983072972 8469318159146 16938636318292 55050568034449 110101136068898 220202272137796