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6628228266 = 231136011381
BaseRepresentation
bin1100010110001001…
…01011110010101010
3122002221011212211210
412023010223302222
5102033311301031
63013413533550
7323153003442
oct61304536252
918087155753
106628228266
1128a150a000
12134b9442b6
1381829907a
1446c423122
1528bd7e746
hex18b12bcaa

6628228266 has 64 divisors (see below), whose sum is σ = 14615943552. Its totient is φ = 2003760000.

The previous prime is 6628228259. The next prime is 6628228273.

6628228266 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (6628228259) and next prime (6628228273).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4798896 + ... + 4800276.

It is an arithmetic number, because the mean of its divisors is an integer number (228374118).

Almost surely, 26628228266 is an apocalyptic number.

6628228266 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6628228266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7307971776).

6628228266 is an abundant number, since it is smaller than the sum of its proper divisors (7987715286).

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

6628228266 is a wasteful number, since it uses less digits than its factorization.

6628228266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 1998 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 6628228266 is about 81413.9316456342. The cubic root of 6628228266 is about 1878.4478914619.

The spelling of 6628228266 in words is "six billion, six hundred twenty-eight million, two hundred twenty-eight thousand, two hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 601 726 1202 1331 1381 1803 2662 2762 3606 3993 4143 6611 7986 8286 13222 15191 19833 30382 39666 45573 72721 91146 145442 167101 218163 334202 436326 501303 799931 829981 1002606 1599862 1659962 1838111 2399793 2489943 3676222 4799586 4979886 5514333 9129791 11028666 18259582 27389373 54778746 100427701 200855402 301283103 602566206 1104704711 2209409422 3314114133 6628228266