Search a number
-
+
214022708081 = 72138918120857
BaseRepresentation
bin1100011101010010111…
…1110101101101110001
3202110102121111001200222
43013110233311231301
512001304303124311
6242153133222425
721314453000600
oct3072457655561
9673377431628
10214022708081
118284826a346
123558b931a15
131724a54bc90
14a5045c9a37
155879590adb
hex31d4bf5b71

214022708081 has 48 divisors (see below), whose sum is σ = 272639923920. Its totient is φ = 166500956160.

The previous prime is 214022708057. The next prime is 214022708111. The reversal of 214022708081 is 180807220412.

It can be written as a sum of positive squares in 8 ways, for example, as 30166131856 + 183856576225 = 173684^2 + 428785^2 .

It is a de Polignac number, because none of the positive numbers 2k-214022708081 is a prime.

It is a super-2 number, since 2×2140227080812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214022707081) 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, 10251005 + ... + 10271861.

It is an arithmetic number, because the mean of its divisors is an integer number (5679998415).

Almost surely, 2214022708081 is an apocalyptic number.

It is an amenable number.

214022708081 is a deficient number, since it is larger than the sum of its proper divisors (58617215839).

214022708081 is a wasteful number, since it uses less digits than its factorization.

214022708081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21154 (or 21147 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

Adding to 214022708081 its reverse (180807220412), we get a palindrome (394829928493).

The spelling of 214022708081 in words is "two hundred fourteen billion, twenty-two million, seven hundred eight thousand, eighty-one".

Divisors: 1 7 13 49 89 91 181 623 637 1157 1267 2353 4361 8099 8869 16109 16471 20857 56693 112763 115297 145999 209417 271141 789341 1021993 1465919 1856273 1897987 3775117 10261433 12993911 13285909 24131549 26425819 49076521 90957377 168920843 184980733 335985413 343535647 1182445901 2351897891 2404749529 4367810369 16463285237 30574672583 214022708081