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10446228 = 223213217101
BaseRepresentation
bin100111110110…
…010110010100
3201122201112100
4213312112110
510133234403
61011522100
7154535322
oct47662624
921581470
1010446228
115995451
1235b9330
132219a00
14155cd12
15db52a3
hex9f6594

10446228 has 108 divisors (see below), whose sum is σ = 30574908. Its totient is φ = 2995200.

The previous prime is 10446223. The next prime is 10446239. The reversal of 10446228 is 82264401.

It can be written as a sum of positive squares in 6 ways, for example, as 26244 + 10419984 = 162^2 + 3228^2 .

It is a super-3 number, since 3×104462283 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10446223) 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 35 ways as a sum of consecutive naturals, for example, 103378 + ... + 103478.

It is an arithmetic number, because the mean of its divisors is an integer number (283101).

Almost surely, 210446228 is an apocalyptic number.

10446228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10446228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15287454).

10446228 is an abundant number, since it is smaller than the sum of its proper divisors (20128680).

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

10446228 is a wasteful number, since it uses less digits than its factorization.

10446228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 10446228 is about 3232.0624993957. The cubic root of 10446228 is about 218.6015146882.

The spelling of 10446228 in words is "ten million, four hundred forty-six thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 101 102 117 153 156 169 202 204 221 234 303 306 338 404 442 468 507 606 612 663 676 884 909 1014 1212 1313 1326 1521 1717 1818 1989 2028 2626 2652 2873 3042 3434 3636 3939 3978 5151 5252 5746 6084 6868 7878 7956 8619 10302 11492 11817 15453 15756 17069 17238 20604 22321 23634 25857 30906 34138 34476 44642 47268 51207 51714 61812 66963 68276 89284 102414 103428 133926 153621 200889 204828 267852 290173 307242 401778 580346 614484 803556 870519 1160692 1741038 2611557 3482076 5223114 10446228