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6468228 = 22331317271
BaseRepresentation
bin11000101011001010000100
3110011121202000
4120223022010
53123440403
6350345300
7105656544
oct30531204
913147660
106468228
113718748
1221bb230
131456170
14c05324
1587b7a3
hex62b284

6468228 has 96 divisors (see below), whose sum is σ = 19192320. Its totient is φ = 1866240.

The previous prime is 6468223. The next prime is 6468269. The reversal of 6468228 is 8228646.

6468228 is a `hidden beast` number, since 646 + 8 + 2 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6468192 and 6468201.

It is not an unprimeable number, because it can be changed into a prime (6468223) 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, 23733 + ... + 24003.

It is an arithmetic number, because the mean of its divisors is an integer number (199920).

Almost surely, 26468228 is an apocalyptic number.

6468228 is a gapful number since it is divisible by the number (68) 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 6468228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9596160).

6468228 is an abundant number, since it is smaller than the sum of its proper divisors (12724092).

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

6468228 is a wasteful number, since it uses less digits than its factorization.

6468228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 306 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 6468228 is about 2543.2711220002. The cubic root of 6468228 is about 186.3209858089.

The spelling of 6468228 in words is "six million, four hundred sixty-eight thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 102 108 117 153 156 204 221 234 271 306 351 442 459 468 542 612 663 702 813 884 918 1084 1326 1404 1626 1836 1989 2439 2652 3252 3523 3978 4607 4878 5967 7046 7317 7956 9214 9756 10569 11934 13821 14092 14634 18428 21138 23868 27642 29268 31707 41463 42276 55284 59891 63414 82926 95121 119782 124389 126828 165852 179673 190242 239564 248778 359346 380484 497556 539019 718692 1078038 1617057 2156076 3234114 6468228