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22315141134 = 23211213827953
BaseRepresentation
bin10100110010000101…
…100000100000001110
32010121011212121211200
4110302011200200032
5331200134004014
614130150530330
71416663366336
oct246205404016
963534777750
1022315141134
119511351900
1243a93669a6
132148221730
1411199760c6
158a912da09
hex53216080e

22315141134 has 144 divisors (see below), whose sum is σ = 57361829616. Its totient is φ = 6227907840.

The previous prime is 22315141111. The next prime is 22315141157. The reversal of 22315141134 is 43114151322.

22315141134 is a `hidden beast` number, since 2 + 2 + 31 + 514 + 113 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (22315141111) and next prime (22315141157).

It is a super-3 number, since 3×223151411343 (a number of 32 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22315141098 and 22315141107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23415202 + ... + 23416154.

It is an arithmetic number, because the mean of its divisors is an integer number (398346039).

Almost surely, 222315141134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22315141134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28680914808).

22315141134 is an abundant number, since it is smaller than the sum of its proper divisors (35046688482).

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

22315141134 is a wasteful number, since it uses less digits than its factorization.

22315141134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1809 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 22315141134 its reverse (43114151322), we get a palindrome (65429292456).

The spelling of 22315141134 in words is "twenty-two billion, three hundred fifteen million, one hundred forty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 121 143 198 234 242 286 363 429 726 827 858 953 1089 1287 1573 1654 1906 2178 2481 2574 2859 3146 4719 4962 5718 7443 8577 9097 9438 10483 10751 12389 14157 14886 17154 18194 20966 21502 24778 27291 28314 31449 32253 37167 54582 62898 64506 74334 81873 94347 96759 100067 111501 115313 118261 136279 163746 188694 193518 200134 223002 230626 236522 272558 300201 345939 354783 408837 600402 691878 709566 788131 817674 900603 1037817 1064349 1226511 1300871 1499069 1576262 1801206 2075634 2128698 2364393 2453022 2601742 2998138 3902613 4497207 4728786 7093179 7805226 8669441 8994414 10245703 11707839 13491621 14186358 17338882 20491406 23415678 26008323 26983242 30737109 52016646 61474218 78024969 92211327 95363851 112702733 156049938 184422654 190727702 225405466 286091553 338108199 572183106 676216398 858274659 1014324597 1239730063 1716549318 2028649194 2479460126 3719190189 7438380378 11157570567 22315141134