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4106223 = 3211193759
BaseRepresentation
bin1111101010011111101111
321201121200100
433222133233
52022344343
6224002143
746621332
oct17523757
97647610
104106223
112355080
121460353
13b0a024
1478c619
155619d3
hex3ea7ef

4106223 has 48 divisors (see below), whose sum is σ = 7113600. Its totient is φ = 2255040.

The previous prime is 4106189. The next prime is 4106227. The reversal of 4106223 is 3226014.

It is a happy number.

4106223 is a `hidden beast` number, since 41 + 0 + 622 + 3 = 666.

It is not a de Polignac number, because 4106223 - 29 = 4105711 is a prime.

It is a super-2 number, since 2×41062232 = 33722134651458, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4106196 and 4106205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4106227) by changing a digit.

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, 69568 + ... + 69626.

It is an arithmetic number, because the mean of its divisors is an integer number (148200).

Almost surely, 24106223 is an apocalyptic number.

4106223 is a deficient number, since it is larger than the sum of its proper divisors (3007377).

4106223 is a wasteful number, since it uses less digits than its factorization.

4106223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4106223 is about 2026.3817508061. The cubic root of 4106223 is about 160.1330013900.

The spelling of 4106223 in words is "four million, one hundred six thousand, two hundred twenty-three".

Divisors: 1 3 9 11 19 33 37 57 59 99 111 171 177 209 333 407 531 627 649 703 1121 1221 1881 1947 2109 2183 3363 3663 5841 6327 6549 7733 10089 12331 19647 23199 24013 36993 41477 69597 72039 110979 124431 216117 373293 456247 1368741 4106223