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8229080340 = 22325137149531
BaseRepresentation
bin1111010100111110…
…11100110100010100
3210020111110121001100
413222133130310110
5113323121032330
63440321430100
7410632012605
oct75237346424
923214417040
108229080340
113543112948
121717a9b330
13a11b3c910
14580c99dac
1533269b060
hex1ea7dcd14

8229080340 has 144 divisors (see below), whose sum is σ = 27260827776. Its totient is φ = 1997049600.

The previous prime is 8229080311. The next prime is 8229080341. The reversal of 8229080340 is 430809228.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8229080295 and 8229080304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8229080341) 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 47 ways as a sum of consecutive naturals, for example, 141375 + ... + 190905.

It is an arithmetic number, because the mean of its divisors is an integer number (189311304).

Almost surely, 28229080340 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 8229080340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13630413888).

8229080340 is an abundant number, since it is smaller than the sum of its proper divisors (19031747436).

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

8229080340 is a wasteful number, since it uses less digits than its factorization.

8229080340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49630 (or 49625 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8229080340 is about 90714.2785894260. The cubic root of 8229080340 is about 2018.9106582770.

Adding to 8229080340 its reverse (430809228), we get a palindrome (8659889568).

The spelling of 8229080340 in words is "eight billion, two hundred twenty-nine million, eighty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 71 78 90 117 130 142 156 180 195 213 234 260 284 355 390 426 468 585 639 710 780 852 923 1065 1170 1278 1420 1846 2130 2340 2556 2769 3195 3692 4260 4615 5538 6390 8307 9230 11076 12780 13845 16614 18460 27690 33228 41535 49531 55380 83070 99062 148593 166140 198124 247655 297186 445779 495310 594372 643903 742965 891558 990620 1287806 1485930 1783116 1931709 2228895 2575612 2971860 3219515 3516701 3863418 4457790 5795127 6439030 7033402 7726836 8915580 9658545 10550103 11590254 12878060 14066804 17583505 19317090 21100206 23180508 28975635 31650309 35167010 38634180 42200412 45717113 52750515 57951270 63300618 70334020 91434226 105501030 115902540 126601236 137151339 158251545 182868452 211002060 228585565 274302678 316503090 411454017 457171130 548605356 633006180 685756695 822908034 914342260 1371513390 1645816068 2057270085 2743026780 4114540170 8229080340