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8220105 = 325374937
BaseRepresentation
bin11111010110110111001001
3120110121212100
4133112313021
54101020410
6452104013
7126604215
oct37266711
916417770
108220105
114704983
122905009
13191a68a
14113d945
15ac58c0
hex7d6dc9

8220105 has 24 divisors (see below), whose sum is σ = 14636232. Its totient is φ = 4264704.

The previous prime is 8220101. The next prime is 8220109. The reversal of 8220105 is 5010228.

It is an interprime number because it is at equal distance from previous prime (8220101) and next prime (8220109).

It can be written as a sum of positive squares in 4 ways, for example, as 2005056 + 6215049 = 1416^2 + 2493^2 .

It is not a de Polignac number, because 8220105 - 22 = 8220101 is a prime.

It is a super-2 number, since 2×82201052 = 135140252422050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8220101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 804 + ... + 4133.

It is an arithmetic number, because the mean of its divisors is an integer number (609843).

Almost surely, 28220105 is an apocalyptic number.

It is an amenable number.

8220105 is a deficient number, since it is larger than the sum of its proper divisors (6416127).

8220105 is a wasteful number, since it uses less digits than its factorization.

8220105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4985 (or 4982 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 8220105 is about 2867.0725487856. The cubic root of 8220105 is about 201.8176392287.

The spelling of 8220105 in words is "eight million, two hundred twenty thousand, one hundred five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1665 4937 14811 24685 44433 74055 182669 222165 548007 913345 1644021 2740035 8220105