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8222332230 = 23257101129221
BaseRepresentation
bin1111010100001011…
…01101010101000110
3210020000202202101100
413222011231111012
5113314404112410
63435521040530
7410520446040
oct75205552506
923200682340
108222332230
11353a3239a2
121715786146
13a10619258
14580020a90
15331cb68c0
hex1ea16d546

8222332230 has 96 divisors (see below), whose sum is σ = 24674165568. Its totient is φ = 1860768000.

The previous prime is 8222332207. The next prime is 8222332253. The reversal of 8222332230 is 322332228.

8222332230 is a `hidden beast` number, since 82 + 22 + 332 + 230 = 666.

It is an interprime number because it is at equal distance from previous prime (8222332207) and next prime (8222332253).

It is a junction number, because it is equal to n+sod(n) for n = 8222332194 and 8222332203.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 981 + ... + 128240.

It is an arithmetic number, because the mean of its divisors is an integer number (257022558).

Almost surely, 28222332230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8222332230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12337082784).

8222332230 is an abundant number, since it is smaller than the sum of its proper divisors (16451833338).

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

8222332230 is a wasteful number, since it uses less digits than its factorization.

8222332230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129342 (or 129339 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 8222332230 is about 90677.0766511581. The cubic root of 8222332230 is about 2018.3586501817.

Adding to 8222332230 its reverse (322332228), we get a palindrome (8544664458).

The spelling of 8222332230 in words is "eight billion, two hundred twenty-two million, three hundred thirty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 101 105 126 202 210 303 315 505 606 630 707 909 1010 1414 1515 1818 2121 3030 3535 4242 4545 6363 7070 9090 10605 12726 21210 31815 63630 129221 258442 387663 646105 775326 904547 1162989 1292210 1809094 1938315 2325978 2713641 3876630 4522735 5427282 5814945 8140923 9045470 11629890 13051321 13568205 16281846 26102642 27136410 39153963 40704615 65256605 78307926 81409230 91359247 117461889 130513210 182718494 195769815 234923778 274077741 391539630 456796235 548155482 587309445 822233223 913592470 1174618890 1370388705 1644466446 2740777410 4111166115 8222332230