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3226168968 = 23311234112959
BaseRepresentation
bin1100000001001011…
…0110111010001000
322022211121100211120
43000102312322020
523101344401333
61252043555240
7142642661301
oct30022667210
98284540746
103226168968
1114060a7550
1276052bb20
133c5501b29
1422867b7a8
1513d36bdb3
hexc04b6e88

3226168968 has 128 divisors (see below), whose sum is σ = 9405849600. Its totient is φ = 912243200.

The previous prime is 3226168963. The next prime is 3226168969. The reversal of 3226168968 is 8698616223.

It is a self number, because there is not a number n which added to its sum of digits gives 3226168968.

It is not an unprimeable number, because it can be changed into a prime (3226168963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242473 + ... + 255431.

It is an arithmetic number, because the mean of its divisors is an integer number (73483200).

Almost surely, 23226168968 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 3226168968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4702924800).

3226168968 is an abundant number, since it is smaller than the sum of its proper divisors (6179680632).

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

3226168968 is a wasteful number, since it uses less digits than its factorization.

3226168968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13043 (or 13039 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The square root of 3226168968 is about 56799.3747148681. The cubic root of 3226168968 is about 1477.6186698698.

The spelling of 3226168968 in words is "three billion, two hundred twenty-six million, one hundred sixty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 41 44 46 66 69 82 88 92 123 132 138 164 184 246 253 264 276 328 451 492 506 552 759 902 943 984 1012 1353 1518 1804 1886 2024 2706 2829 3036 3608 3772 5412 5658 6072 7544 10373 10824 11316 12959 20746 22632 25918 31119 38877 41492 51836 62238 77754 82984 103672 124476 142549 155508 248952 285098 298057 311016 427647 531319 570196 596114 855294 894171 1062638 1140392 1192228 1593957 1710588 1788342 2125276 2384456 3187914 3278627 3421176 3576684 4250552 5844509 6375828 6557254 7153368 9835881 11689018 12220337 12751656 13114508 17533527 19671762 23378036 24440674 26229016 35067054 36661011 39343524 46756072 48881348 70134108 73322022 78687048 97762696 134423707 140268216 146644044 268847414 293288088 403271121 537694828 806542242 1075389656 1613084484 3226168968