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8225484845228 = 22719791344114561
BaseRepresentation
bin111011110110010010100…
…0110100011000010101100
31002010100102011220100210022
41313230211012203002230
52034231243110021403
625254422514501312
71506162116402450
oct167544506430254
932110364810708
108225484845228
1126914548368a2
12b0a1a2294838
13478876a269c1
14206189276660
15e3e6c92ed38
hex77b251a30ac

8225484845228 has 96 divisors (see below), whose sum is σ = 17538519398400. Its totient is φ = 3296924467200.

The previous prime is 8225484845173. The next prime is 8225484845261.

8225484845228 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×82254848452282 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 564891068 + ... + 564905628.

It is an arithmetic number, because the mean of its divisors is an integer number (182692910400).

Almost surely, 28225484845228 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 8225484845228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8769259699200).

8225484845228 is an abundant number, since it is smaller than the sum of its proper divisors (9313034553172).

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

8225484845228 is a wasteful number, since it uses less digits than its factorization.

8225484845228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28111 (or 28109 counting only the distinct ones).

The product of its digits is 104857600, while the sum is 62.

The spelling of 8225484845228 in words is "eight trillion, two hundred twenty-five billion, four hundred eighty-four million, eight hundred forty-five thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 14 19 28 38 76 79 133 158 266 316 532 553 1106 1501 2212 3002 6004 10507 13441 14561 21014 26882 29122 42028 53764 58244 94087 101927 188174 203854 255379 276659 376348 407708 510758 553318 1021516 1061839 1106636 1150319 1787653 1936613 2123678 2300638 3575306 3873226 4247356 4601276 7150612 7432873 7746452 8052233 14865746 16104466 20174941 21856061 29731492 32208932 40349882 43712122 80699764 87424244 141224587 152992427 195714401 282449174 305984854 391428802 564898348 611969708 782857604 1370000807 2740001614 3718573619 5480003228 7437147238 14874294476 15461437679 26030015333 30922875358 52060030666 61845750716 104120061332 108230063753 216460127506 293767315901 432920255012 587534631802 1175069263604 2056371211307 4112742422614 8225484845228