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222002131023222 = 231143619713220357
BaseRepresentation
bin110010011110100011100110…
…001010001011010101110110
31002010001012022012211121111020
4302132203212022023111312
5213044240331020220342
62104054212051522010
764522060522261254
oct6236434612132566
91063035265747436
10222002131023222
1164811636419490
1220a956005b9306
1396b4932467764
143cb6d637755d4
151a9ebb90470ec
hexc9e8e628b576

222002131023222 has 128 divisors (see below), whose sum is σ = 508951208037888. Its totient is φ = 63965370470400.

The previous prime is 222002131023209. The next prime is 222002131023241. The reversal of 222002131023222 is 222320131200222.

It is a super-2 number, since 2×2220021310232222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222002131023192 and 222002131023201.

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, 10182268 + ... + 23402624.

It is an arithmetic number, because the mean of its divisors is an integer number (3976181312796).

Almost surely, 2222002131023222 is an apocalyptic number.

222002131023222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 222002131023222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254475604018944).

222002131023222 is an abundant number, since it is smaller than the sum of its proper divisors (286949077014666).

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

222002131023222 is a wasteful number, since it uses less digits than its factorization.

222002131023222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13220574.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 222002131023222 its reverse (222320131200222), we get a palindrome (444322262223444).

The spelling of 222002131023222 in words is "two hundred twenty-two trillion, two billion, one hundred thirty-one million, twenty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 43 61 66 86 97 122 129 183 194 258 291 366 473 582 671 946 1067 1342 1419 2013 2134 2623 2838 3201 4026 4171 5246 5917 6402 7869 8342 11834 12513 15738 17751 25026 28853 35502 45881 57706 65087 86559 91762 130174 137643 173118 195261 254431 275286 390522 508862 763293 1526586 2798741 5597482 8396223 13220357 16792446 26440714 39661071 79322142 145423927 290847854 436271781 568475351 806441777 872543562 1136950702 1282374629 1612883554 1705426053 2419325331 2564749258 3410852106 3847123887 4838650662 6253228861 7694247774 8870859547 12506457722 14106120919 17741719094 18759686583 26612578641 28212241838 34676996411 37519373166 42318362757 53225157282 55142109047 69353992822 78224852369 84636725514 104030989233 110284218094 156449704738 165426327141 208061978466 234674557107 330852654282 381446960521 469349114214 606563199517 762893921042 860473376059 1144340881563 1213126399034 1720946752118 1819689598551 2288681763126 2581420128177 3363668651867 3639379197102 5162840256354 6727337303734 10091005955601 20182011911202 37000355170537 74000710341074 111001065511611 222002131023222