Search a number
-
+
226117710676 = 2211132361281761
BaseRepresentation
bin1101001010010110101…
…0100111001101010100
3210121122112100212010001
43102211222213031110
512201042113220201
6251513235141044
722223256554044
oct3224552471524
9717575325101
10226117710676
1187994609860
12379a6444784
1318427297750
14ad30a97724
155d3632a301
hex34a5aa7354

226117710676 has 96 divisors (see below), whose sum is σ = 493051942656. Its totient is φ = 89261568000.

The previous prime is 226117710671. The next prime is 226117710691. The reversal of 226117710676 is 676017711622.

226117710676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2261177106762 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226117710671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 661636 + ... + 943396.

It is an arithmetic number, because the mean of its divisors is an integer number (5135957736).

Almost surely, 2226117710676 is an apocalyptic number.

226117710676 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

226117710676 is an abundant number, since it is smaller than the sum of its proper divisors (266934231980).

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

226117710676 is a wasteful number, since it uses less digits than its factorization.

226117710676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281873 (or 281871 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 46.

The spelling of 226117710676 in words is "two hundred twenty-six billion, one hundred seventeen million, seven hundred ten thousand, six hundred seventy-six".

Divisors: 1 2 4 11 13 22 23 26 44 46 52 61 92 122 143 244 253 286 299 506 572 598 671 793 1012 1196 1342 1403 1586 2684 2806 3172 3289 5612 6578 8723 13156 15433 17446 18239 30866 34892 36478 61732 72956 200629 281761 401258 563522 802516 1127044 3099371 3662893 6198742 6480503 7325786 12397484 12961006 14651572 17187421 25922012 34374842 40291823 68749684 71285533 80583646 84246539 142571066 161167292 168493078 189061631 223436473 285142132 336986156 378123262 395310683 446872946 756246524 790621366 893745892 926711929 1581242732 1853423858 2457801203 3706847716 4348417513 4915602406 5139038879 8696835026 9831204812 10278077758 17393670052 20556155516 56529427669 113058855338 226117710676