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222201020102222 = 27101179244311071
BaseRepresentation
bin110010100001011100110100…
…110111110011011001001110
31002010202012200010201122212102
4302201130310313303121032
5213111020142121232342
62104325423415035102
764542331263455450
oct6241346467633116
91063665603648772
10222201020102222
1164888a18096257
1220b0806806ba92
1396ca60a581115
143cc28300b42d0
151aa4e59bc9832
hexca1734df364e

222201020102222 has 96 divisors (see below), whose sum is σ = 387756847263744. Its totient is φ = 93539312568000.

The previous prime is 222201020102221. The next prime is 222201020102251.

222201020102222 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 222201020102194 and 222201020102203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222201020102221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20070540947 + ... + 20070552017.

It is an arithmetic number, because the mean of its divisors is an integer number (4039133825664).

Almost surely, 2222201020102222 is an apocalyptic number.

222201020102222 is a deficient number, since it is larger than the sum of its proper divisors (165555827161522).

222201020102222 is a wasteful number, since it uses less digits than its factorization.

222201020102222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11982 (or 11803 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The spelling of 222201020102222 in words is "two hundred twenty-two trillion, two hundred one billion, twenty million, one hundred two thousand, two hundred twenty-two".

Divisors: 1 2 7 14 101 179 202 358 443 707 886 1253 1414 2506 3101 6202 11071 18079 22142 32041 36158 44743 64082 77497 79297 89486 126553 154994 158594 224287 253106 313201 448574 555079 626402 1110158 1118171 1981709 2236342 3236141 3963418 4904453 6472282 7827197 8008997 9808906 13871963 14194163 15654394 16017994 22652987 27743926 28388326 34331171 45305974 56062979 68662342 99359141 112125958 198718282 200152609 354725911 400305218 495349753 709451822 877897087 990699506 1401068263 1433610463 1755794174 2483081377 2802136526 2867220926 3467448271 4966162754 6145279609 6934896542 10035273241 12290559218 20070546482 35827317011 71654634022 88667605787 157143578573 177335211574 250791219077 314287157146 501582438154 620673240509 1100005050011 1241346481018 2200010100022 15871501435873 31743002871746 111100510051111 222201020102222