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221010020202222 = 233531574567107699
BaseRepresentation
bin110010010000000111100111…
…101111101111011011101110
31001222112100111022022000002000
4302100013213233233123232
5212432012010132432342
62102014333541513130
764360306221401136
oct6220074757573356
91058470438260060
10221010020202222
1164469906759539
12209552807127a6
139642203780094
143c80d28dc9ac6
151a83ea01da44c
hexc901e7bef6ee

221010020202222 has 128 divisors (see below), whose sum is σ = 503702250624000. Its totient is φ = 71803231913088.

The previous prime is 221010020202217. The next prime is 221010020202233. The reversal of 221010020202222 is 222202020010122.

221010020202222 is a `hidden beast` number, since 2 + 210 + 10 + 0 + 20 + 202 + 222 = 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 = 221010020202195 and 221010020202204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2052054529 + ... + 2052162227.

It is an arithmetic number, because the mean of its divisors is an integer number (3935173833000).

Almost surely, 2221010020202222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221010020202222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251851125312000).

221010020202222 is an abundant number, since it is smaller than the sum of its proper divisors (282692230421778).

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

221010020202222 is a wasteful number, since it uses less digits than its factorization.

221010020202222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112487 (or 112481 counting only the distinct ones).

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

Adding to 221010020202222 its reverse (222202020010122), we get a palindrome (443212040212344).

The spelling of 221010020202222 in words is "two hundred twenty-one trillion, ten billion, twenty million, two hundred two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 53 54 106 157 159 314 318 471 477 942 954 1413 1431 2826 2862 4239 4567 8321 8478 9134 13701 16642 24963 27402 41103 49926 74889 82206 107699 123309 149778 215398 224667 242051 246618 323097 449334 484102 646194 717019 726153 969291 1434038 1452306 1938582 2151057 2178459 2907873 4302114 4356918 5708047 5815746 6453171 6535377 11416094 12906342 13070754 16908743 17124141 19359513 33817486 34248282 38002007 38719026 50726229 51372423 76004014 101452458 102744846 114006021 152178687 154117269 228012042 304357374 308234538 342018063 456536061 491861333 684036126 896163379 913072122 983722666 1026054189 1475583999 1792326758 2052108378 2688490137 2951167998 4426751997 5376980274 8065470411 8853503994 13280255991 16130940822 24196411233 26068650649 26560511982 48392822466 52137301298 77222229281 78205951947 154444458562 156411903894 231666687843 234617855841 463333375686 469235711682 695000063529 703853567523 1390000127058 1407707135046 2085000190587 4092778151893 4170000381174 8185556303786 12278334455679 24556668911358 36835003367037 73670006734074 110505010101111 221010020202222