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227806121268 = 2232112947941413
BaseRepresentation
bin1101010000101001001…
…1011000110100110100
3210210000012102000000200
43110022103120310310
512213021331340033
6252352551440500
722313151036645
oct3241223306464
9723005360020
10227806121268
1188680686710
1238197986130
1318636016b7b
14b0510036cc
155dd4690013
hex350a4d8d34

227806121268 has 144 divisors (see below), whose sum is σ = 651226867200. Its totient is φ = 66510984960.

The previous prime is 227806121233. The next prime is 227806121269. The reversal of 227806121268 is 862121608722.

227806121268 is a `hidden beast` number, since 2 + 2 + 7 + 8 + 0 + 612 + 1 + 26 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227806121269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5480130 + ... + 5521542.

It is an arithmetic number, because the mean of its divisors is an integer number (4522408800).

Almost surely, 2227806121268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227806121268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325613433600).

227806121268 is an abundant number, since it is smaller than the sum of its proper divisors (423420745932).

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

227806121268 is a wasteful number, since it uses less digits than its factorization.

227806121268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41942 (or 41937 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 227806121268 in words is "two hundred twenty-seven billion, eight hundred six million, one hundred twenty-one thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 479 522 638 957 958 1044 1276 1437 1914 1916 2871 2874 3828 4311 5269 5742 5748 8622 10538 11484 13891 15807 17244 21076 27782 31614 41413 41673 47421 55564 63228 82826 83346 94842 124239 125019 152801 165652 166692 189684 248478 250038 305602 372717 455543 458403 496956 500076 611204 745434 911086 916806 1200977 1366629 1375209 1490868 1822172 1833612 2401954 2733258 2750418 3602931 4099887 4803908 5466516 5500836 7205862 8199774 10808793 13210747 14411724 16399548 19836827 21617586 26421494 39632241 39673654 43235172 52842988 59510481 79264482 79347308 118896723 119020962 158528964 178531443 218205097 237793446 238041924 357062886 436410194 475586892 575267983 654615291 714125772 872820388 1150535966 1309230582 1725803949 1963845873 2301071932 2618461164 3451607898 3927691746 5177411847 6327947813 6903215796 7855383492 10354823694 12655895626 18983843439 20709647388 25311791252 37967686878 56951530317 75935373756 113903060634 227806121268