Search a number
-
+
5805228 = 223111317199
BaseRepresentation
bin10110001001010010101100
3101220221021110
4112021102230
52441231403
6324232020
7100225602
oct26112254
911827243
105805228
113305610
121b3b610
131283460
14ab1872
1579a103
hex5894ac

5805228 has 96 divisors (see below), whose sum is σ = 16934400. Its totient is φ = 1520640.

The previous prime is 5805227. The next prime is 5805229. The reversal of 5805228 is 8225085.

It is an interprime number because it is at equal distance from previous prime (5805227) and next prime (5805229).

It is a junction number, because it is equal to n+sod(n) for n = 5805195 and 5805204.

It is not an unprimeable number, because it can be changed into a prime (5805227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29073 + ... + 29271.

It is an arithmetic number, because the mean of its divisors is an integer number (176400).

Almost surely, 25805228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5805228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8467200).

5805228 is an abundant number, since it is smaller than the sum of its proper divisors (11129172).

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

5805228 is a wasteful number, since it uses less digits than its factorization.

5805228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 5805228 is about 2409.4040757000. The cubic root of 5805228 is about 179.7241453629.

The spelling of 5805228 in words is "five million, eight hundred five thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 13 17 22 26 33 34 39 44 51 52 66 68 78 102 132 143 156 187 199 204 221 286 374 398 429 442 561 572 597 663 748 796 858 884 1122 1194 1326 1716 2189 2244 2388 2431 2587 2652 3383 4378 4862 5174 6567 6766 7293 7761 8756 9724 10149 10348 13134 13532 14586 15522 20298 26268 28457 29172 31044 37213 40596 43979 56914 74426 85371 87958 111639 113828 131937 148852 170742 175916 223278 263874 341484 446556 483769 527748 967538 1451307 1935076 2902614 5805228