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222122012222201 = 72131790722614967
BaseRepresentation
bin110010100000010011001111…
…101000101010001011111001
31002010110122201221110111121212
4302200103033220222023321
5213103221340112102301
62104225235502012505
764533533346535100
oct6240231750521371
91063418657414555
10222122012222201
1164858464210643
1220ab4898577135
1396c3028b57860
143cbca96dd5037
151aa2d838824bb
hexca04cfa2a2f9

222122012222201 has 48 divisors (see below), whose sum is σ = 294955991519616. Its totient is φ = 165224579756544.

The previous prime is 222122012222197. The next prime is 222122012222263. The reversal of 222122012222201 is 102222210221222.

It is not a de Polignac number, because 222122012222201 - 22 = 222122012222197 is a prime.

It is a super-2 number, since 2×2221220122222012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (222122012221201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1485581 + ... + 21129386.

It is an arithmetic number, because the mean of its divisors is an integer number (6144916489992).

Almost surely, 2222122012222201 is an apocalyptic number.

It is an amenable number.

222122012222201 is a deficient number, since it is larger than the sum of its proper divisors (72833979297415).

222122012222201 is a wasteful number, since it uses less digits than its factorization.

222122012222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22615918 (or 22615911 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 222122012222201 its reverse (102222210221222), we get a palindrome (324344222443423).

The spelling of 222122012222201 in words is "two hundred twenty-two trillion, one hundred twenty-two billion, twelve million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 7 13 17 49 91 119 221 637 833 907 1547 6349 10829 11791 15419 44443 82537 107933 200447 577759 755531 1403129 9821903 22614967 158304769 293994571 384454439 1108133383 2057961997 2691181073 4997907707 14405733979 18838267511 20511775069 34985353949 143582425483 244897477643 266653075897 348700176173 1005076978381 1866571531279 2440901233211 4533102290249 13066000718953 17086308632477 31731716031743 222122012222201