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5106222 = 23211173741
BaseRepresentation
bin10011011110101000101110
3100121102102100
4103132220232
52301344342
6301235530
761254642
oct23365056
910542370
105106222
112978420
121862ba6
13109a244
1496cc22
156ace4c
hex4dea2e

5106222 has 96 divisors (see below), whose sum is σ = 13444704. Its totient is φ = 1382400.

The previous prime is 5106217. The next prime is 5106229. The reversal of 5106222 is 2226015.

It is a super-2 number, since 2×51062222 = 52147006226568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5106195 and 5106204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5106229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124522 + ... + 124562.

It is an arithmetic number, because the mean of its divisors is an integer number (140049).

Almost surely, 25106222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5106222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6722352).

5106222 is an abundant number, since it is smaller than the sum of its proper divisors (8338482).

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

5106222 is a wasteful number, since it uses less digits than its factorization.

5106222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5106222 is about 2259.6951121777. The cubic root of 5106222 is about 172.2000331840.

The spelling of 5106222 in words is "five million, one hundred six thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 37 41 51 66 74 82 99 102 111 123 153 187 198 222 246 306 333 369 374 407 451 561 629 666 697 738 814 902 1122 1221 1258 1353 1394 1517 1683 1887 2091 2442 2706 3034 3366 3663 3774 4059 4182 4551 5661 6273 6919 7326 7667 8118 9102 11322 12546 13653 13838 15334 16687 20757 23001 25789 27306 33374 41514 46002 50061 51578 62271 69003 77367 100122 124542 138006 150183 154734 232101 283679 300366 464202 567358 851037 1702074 2553111 5106222