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2216666226216 = 2331331739310127
BaseRepresentation
bin100000010000011011100…
…110100101111000101000
321211220121021120112211010
4200100123212211320220
5242304213023214331
64414153350103520
7316102025016621
oct40203346457050
97756537515733
102216666226216
117850a0329462
122b973104aba0
13131052682260
14794041a8a48
153c9d9697e46
hex2041b9a5e28

2216666226216 has 128 divisors (see below), whose sum is σ = 6168818073600. Its totient is φ = 659154205440.

The previous prime is 2216666226199. The next prime is 2216666226223. The reversal of 2216666226216 is 6126226666122.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6992545 + ... + 7302671.

It is an arithmetic number, because the mean of its divisors is an integer number (48193891200).

Almost surely, 22216666226216 is an apocalyptic number.

2216666226216 is a gapful number since it is divisible by the number (26) 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 2216666226216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084409036800).

2216666226216 is an abundant number, since it is smaller than the sum of its proper divisors (3952151847384).

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

2216666226216 is a wasteful number, since it uses less digits than its factorization.

2216666226216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310919 (or 310915 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The spelling of 2216666226216 in words is "two trillion, two hundred sixteen billion, six hundred sixty-six million, two hundred twenty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 739 744 806 1209 1478 1612 2217 2418 2956 3224 4434 4836 5912 8868 9607 9672 17736 19214 22909 28821 38428 45818 57642 68727 76856 91636 115284 137454 183272 230568 274908 297817 310127 549816 595634 620254 893451 930381 1191268 1240508 1786902 1860762 2382536 2481016 3573804 3721524 4031651 7147608 7443048 8063302 9613937 12094953 16126604 19227874 24189906 28841811 32253208 38455748 48379812 57683622 76911496 96759624 115367244 124981181 229183853 230734488 249962362 374943543 458367706 499924724 687551559 749887086 916735412 999849448 1375103118 1499774172 1833470824 2750206236 2979390089 2999548344 5500412472 5958780178 7104699443 8938170267 11917560356 14209398886 17876340534 21314098329 23835120712 28418797772 35752681068 42628196658 56837595544 71505362136 85256393316 92361092759 170512786632 184722185518 277083278277 369444371036 554166556554 738888742072 1108333113108 2216666226216