Search a number
-
+
1222220120022 = 23211192103316553
BaseRepresentation
bin10001110010010001111…
…111101111111111010110
311022211202121210011100200
4101302101333233333112
5130011101322320042
62333251414521330
7154205516415036
oct21622177577726
94284677704320
101222220120022
11431382438150
12178a5b066246
138b340c19c15
14432276078c6
1521bd57e9c4c
hex11c91feffd6

1222220120022 has 144 divisors (see below), whose sum is σ = 3052068793488. Its totient is φ = 350515745280.

The previous prime is 1222220119979. The next prime is 1222220120057. The reversal of 1222220120022 is 2200210222221.

1222220120022 is a `hidden beast` number, since 1 + 222 + 220 + 1 + 200 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1222220119977 and 1222220120004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 73828498 + ... + 73845050.

It is an arithmetic number, because the mean of its divisors is an integer number (21194922177).

Almost surely, 21222220120022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222220120022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526034396744).

1222220120022 is an abundant number, since it is smaller than the sum of its proper divisors (1829848673466).

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

1222220120022 is a wasteful number, since it uses less digits than its factorization.

1222220120022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17643 (or 17621 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1222220120022 its reverse (2200210222221), we get a palindrome (3422430342243).

The spelling of 1222220120022 in words is "one trillion, two hundred twenty-two billion, two hundred twenty million, one hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 361 418 627 722 1033 1083 1254 1881 2066 2166 3099 3249 3762 3971 6198 6498 7942 9297 11363 11913 16553 18594 19627 22726 23826 33106 34089 35739 39254 49659 58881 68178 71478 99318 102267 117762 148977 176643 182083 204534 215897 297954 314507 353286 364166 372913 431794 546249 629014 647691 745826 943521 1092498 1118739 1295382 1638747 1887042 1943073 2237478 2830563 3277494 3356217 3459577 3886146 4102043 5661126 5975633 6712434 6919154 8204086 10378731 11951266 12306129 17099249 17926899 20757462 24612258 31136193 34198498 35853798 36918387 51297747 53780697 62272386 65731963 73836774 102595494 107561394 131463926 153893241 188091739 197195889 307786482 324885731 376183478 394391778 564275217 591587667 649771462 974657193 1128550434 1183175334 1692825651 1949314386 2923971579 3385651302 3573743041 5847943158 6172828889 7147486082 10721229123 12345657778 18518486667 21442458246 32163687369 37036973334 55555460001 64327374738 67901117779 111110920002 135802235558 203703353337 407406706674 611110060011 1222220120022