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221201222100222 = 237134187131134079
BaseRepresentation
bin110010010010111001101100…
…010001000110010011111110
31002000012122000111101210112210
4302102321230101012103332
5212443130100324201342
62102242234422041250
764410155330615040
oct6222715421062376
91060178014353483
10221201222100222
1164532a03198461
1220986341879226
1396572550bc130
143c8a2a680da90
151a88e4106479c
hexc92e6c4464fe

221201222100222 has 128 divisors (see below), whose sum is σ = 557840197877760. Its totient is φ = 56909304207360.

The previous prime is 221201222100179. The next prime is 221201222100233. The reversal of 221201222100222 is 222001222102122.

221201222100222 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2212012221002222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194482179 + ... + 195616257.

It is an arithmetic number, because the mean of its divisors is an integer number (4358126545920).

Almost surely, 2221201222100222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221201222100222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278920098938880).

221201222100222 is an abundant number, since it is smaller than the sum of its proper divisors (336638975777538).

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

221201222100222 is a wasteful number, since it uses less digits than its factorization.

221201222100222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142858.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 221201222100222 its reverse (222001222102122), we get a palindrome (443202444202344).

The spelling of 221201222100222 in words is "two hundred twenty-one trillion, two hundred one billion, two hundred twenty-two million, one hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 41 42 78 82 91 123 182 246 273 287 533 546 574 861 1066 1599 1722 3198 3731 7462 8713 11193 17426 22386 26139 52278 60991 113269 121982 182973 226538 339807 357233 365946 679614 714466 792883 1071699 1134079 1585766 2143398 2268158 2378649 2500631 3402237 4644029 4757298 5001262 6804474 7501893 7938553 9288058 13932087 14743027 15003786 15877106 23815659 27864174 29486054 32508203 44229081 46497239 47631318 65016406 88458162 92994478 97524609 103201189 139491717 195049218 206402378 278983434 309603567 325480673 604464107 619207134 650961346 976442019 1208928214 1813392321 1952884038 3626784642 4231248749 8462497498 9881230327 12693746247 19762460654 25387492494 29643690981 59287381962 69168612289 128455994251 138337224578 207505836867 256911988502 385367982753 405130443407 415011673734 770735965506 810260886814 899191959757 1215391330221 1798383919514 2430782660442 2697575879271 2835913103849 5266695764291 5395151758542 5671826207698 8507739311547 10533391528582 15800087292873 17015478623094 31600174585746 36866870350037 73733740700074 110600611050111 221201222100222