Search a number
-
+
225306334336611 = 31110114921114231511
BaseRepresentation
bin110011001110101000111000…
…000001100001011001100011
31002112202002000211022100200010
4303032220320001201121203
5214012404333042232421
62115104145012100003
765312563000112013
oct6316507001413143
91075662024270603
10225306334336611
1165875975010a80
1221329a63604603
1398943b0892138
143d8cc55b29c43
151b0ab04e81076
hexccea38061663

225306334336611 has 128 divisors (see below), whose sum is σ = 335220299366400. Its totient is φ = 133471195200000.

The previous prime is 225306334336607. The next prime is 225306334336637. The reversal of 225306334336611 is 116633433603522.

It is not a de Polignac number, because 225306334336611 - 22 = 225306334336607 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225306334336651) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 149110743346 + ... + 149110744856.

It is an arithmetic number, because the mean of its divisors is an integer number (2618908588800).

Almost surely, 2225306334336611 is an apocalyptic number.

225306334336611 is a deficient number, since it is larger than the sum of its proper divisors (109913965029789).

225306334336611 is a wasteful number, since it uses less digits than its factorization.

225306334336611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3409.

The product of its (nonzero) digits is 4199040, while the sum is 48.

The spelling of 225306334336611 in words is "two hundred twenty-five trillion, three hundred six billion, three hundred thirty-four million, three hundred thirty-six thousand, six hundred eleven".

Divisors: 1 3 11 33 101 149 211 303 447 633 1111 1423 1511 1639 2321 3333 4269 4533 4917 6963 15049 15653 16621 21311 31439 45147 46959 49863 63933 94317 143723 152611 165539 212027 225139 234421 300253 318821 345829 431169 457833 496617 636081 675417 703263 900759 956463 1037487 1580953 1678721 2150153 2332297 2476529 3175339 3302783 3507031 4742859 5036163 6450459 6996891 7429587 9526017 9908349 10521093 21414727 22739039 23651683 30325553 32200921 34928729 44737697 47504329 64244181 68217117 70955049 90976659 96602763 104786187 134213091 142512987 217165453 235561997 250129429 320372797 333581083 354210131 453682283 492114667 522547619 651496359 706685991 750388287 961118391 1000743249 1062630393 1361046849 1476344001 1567642857 2388819983 3524100767 4518507397 4797937229 4990505113 7166459949 10572302301 13555522191 14393811687 14971515339 32357652497 45821910583 49703581367 52777309519 67598660167 97072957491 137465731749 149110744101 158331928557 202795980501 355934177467 504041016413 743585261837 1067802532401 1512123049239 2230755785511 6827464676867 20482394030601 75102111445537 225306334336611