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8230082274 = 234412934229
BaseRepresentation
bin1111010101000110…
…10001011011100010
3210020120100111110000
413222203101123202
5113323400113044
63440355120430
7410643354651
oct75243213342
923216314400
108230082274
113543737697
1217182a3116
13a1210098b
1458107b198
153327e7d69
hex1ea8d16e2

8230082274 has 80 divisors (see below), whose sum is σ = 18960230520. Its totient is φ = 2666684160.

The previous prime is 8230082183. The next prime is 8230082291. The reversal of 8230082274 is 4722800328.

8230082274 is a `hidden beast` number, since 8 + 2 + 300 + 82 + 274 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8218691649 + 11390625 = 90657^2 + 3375^2 .

It is a super-2 number, since 2×82300822742 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1943992 + ... + 1948220.

Almost surely, 28230082274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8230082274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9480115260).

8230082274 is an abundant number, since it is smaller than the sum of its proper divisors (10730148246).

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

8230082274 is a wasteful number, since it uses less digits than its factorization.

8230082274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4577 (or 4568 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 8230082274 is about 90719.8008926386. The cubic root of 8230082274 is about 2018.9925926308.

The spelling of 8230082274 in words is "eight billion, two hundred thirty million, eighty-two thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 293 369 586 738 879 1107 1758 2214 2637 3321 4229 5274 6642 7911 8458 12013 12687 15822 23733 24026 25374 36039 38061 47466 72078 76122 108117 114183 173389 216234 228366 324351 342549 346778 520167 648702 685098 973053 1040334 1239097 1560501 1946106 2478194 3121002 3717291 4681503 7434582 9363006 11151873 14044509 22303746 28089018 33455619 50802977 66911238 100366857 101605954 152408931 200733714 304817862 457226793 914453586 1371680379 2743360758 4115041137 8230082274