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2216670066 = 2321331431709
BaseRepresentation
bin1000010000011111…
…1011001101110010
312201111001111200100
42010013323031302
514014431420231
61003542533230
7105634245642
oct20407731562
95644044610
102216670066
11a38286036
1251a437216
1329431a1c0
1417057a522
15ce9111e6
hex841fb372

2216670066 has 96 divisors (see below), whose sum is σ = 5359011840. Its totient is φ = 657590400.

The previous prime is 2216670047. The next prime is 2216670067. The reversal of 2216670066 is 6600766122.

2216670066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2216670066.

It is not an unprimeable number, because it can be changed into a prime (2216670067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3126120 + ... + 3126828.

It is an arithmetic number, because the mean of its divisors is an integer number (55823040).

Almost surely, 22216670066 is an apocalyptic number.

2216670066 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2216670066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679505920).

2216670066 is an abundant number, since it is smaller than the sum of its proper divisors (3142341774).

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

2216670066 is a wasteful number, since it uses less digits than its factorization.

2216670066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2216670066 is about 47081.5257399333. The cubic root of 2216670066 is about 1303.8681761838.

The spelling of 2216670066 in words is "two billion, two hundred sixteen million, six hundred seventy thousand, sixty-six".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 431 558 709 806 862 1209 1293 1418 2127 2418 2586 3627 3879 4254 5603 6381 7254 7758 9217 11206 12762 13361 16809 18434 21979 26722 27651 33618 40083 43958 50427 55302 65937 80166 82953 100854 120249 131874 165906 173693 197811 240498 285727 305579 347386 395622 521079 571454 611158 857181 916737 1042158 1563237 1714362 1833474 2571543 2750211 3126474 3972527 5143086 5500422 7945054 9472949 11917581 18945898 23835162 28418847 35752743 56837694 71505486 85256541 123148337 170513082 246296674 369445011 738890022 1108335033 2216670066