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8342221810 = 25131759137467
BaseRepresentation
bin1111100010011110…
…00011001111110010
3210112101100202222011
413301033003033302
5114041102044220
63455442433134
7413504500246
oct76117031762
923471322864
108342221810
1135a0a6a79a
1217499627aa
13a2c404b30
14591d0c426
1533c59965a
hex1f13c33f2

8342221810 has 128 divisors (see below), whose sum is σ = 17577181440. Its totient is φ = 2823020544.

The previous prime is 8342221801. The next prime is 8342221819. The reversal of 8342221810 is 181222438.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8342221801) and next prime (8342221819).

It is a super-2 number, since 2×83422218102 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8342221819) 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 63 ways as a sum of consecutive naturals, for example, 17863197 + ... + 17863663.

It is an arithmetic number, because the mean of its divisors is an integer number (137321730).

Almost surely, 28342221810 is an apocalyptic number.

8342221810 is an abundant number, since it is smaller than the sum of its proper divisors (9234959630).

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

8342221810 is a wasteful number, since it uses less digits than its factorization.

8342221810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700.

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 8342221810 is about 91335.7641343193. The cubic root of 8342221810 is about 2028.1212292034.

The spelling of 8342221810 in words is "eight billion, three hundred forty-two million, two hundred twenty-one thousand, eight hundred ten".

Divisors: 1 2 5 10 13 17 26 34 59 65 85 118 130 137 170 221 274 295 442 467 590 685 767 934 1003 1105 1370 1534 1781 2006 2210 2329 2335 3562 3835 4658 4670 5015 6071 7670 7939 8083 8905 10030 11645 12142 13039 15878 16166 17810 23290 26078 27553 30277 30355 39695 40415 55106 60554 60710 63979 65195 79390 80830 103207 105079 127958 130390 137411 137765 151385 206414 210158 274822 275530 302770 319895 358189 468401 516035 525395 639790 687055 716378 831727 936802 1032070 1050790 1087643 1374110 1663454 1786343 1790945 2175286 2342005 3572686 3581890 3774761 4158635 4684010 5438215 6089213 7549522 8317270 8931715 10876430 12178426 14139359 17863430 18873805 28278718 30446065 37747610 49071893 60892130 64170937 70696795 98143786 128341874 141393590 245359465 320854685 490718930 641709370 834222181 1668444362 4171110905 8342221810