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226106612355316 = 2271117313499314351
BaseRepresentation
bin110011011010010010001100…
…010011111001000011110100
31002122120120200120120220121211
4303122102030103321003310
5214114012320230332231
62120515535503251204
765424443431043140
oct6332221423710364
91078516616526554
10226106612355316
11660543040a62a0
1221438b86ba9b04
1399219ba311404
143db9892d82220
151b2184288deb1
hexcda48c4f90f4

226106612355316 has 96 divisors (see below), whose sum is σ = 496213433856000. Its totient is φ = 87577507632000.

The previous prime is 226106612355313. The next prime is 226106612355389. The reversal of 226106612355316 is 613553216601622.

It is a super-2 number, since 2×2261066123553162 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 226106612355316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226106612355313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 719123541 + ... + 719437891.

It is an arithmetic number, because the mean of its divisors is an integer number (5168889936000).

Almost surely, 2226106612355316 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 226106612355316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248106716928000).

226106612355316 is an abundant number, since it is smaller than the sum of its proper divisors (270106821500684).

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

226106612355316 is a wasteful number, since it uses less digits than its factorization.

226106612355316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328045 (or 328043 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 49.

Adding to 226106612355316 its reverse (613553216601622), we get a palindrome (839659828956938).

The spelling of 226106612355316 in words is "two hundred twenty-six trillion, one hundred six billion, six hundred twelve million, three hundred fifty-five thousand, three hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 173 308 346 692 1211 1903 2422 3806 4844 7612 13321 13499 26642 26998 53284 53996 94493 148489 188986 296978 314351 377972 593956 628702 1039423 1257404 2078846 2200457 2335327 3457861 4157692 4400914 4670654 6915722 8801828 9341308 13831444 16347289 24205027 25688597 32694578 48410054 51377194 54382723 65389156 96820108 102754388 108765446 179820179 217530892 359640358 380679061 598209953 719280716 761358122 1196419906 1522716244 2392839812 4187469671 4243424149 8374939342 8486848298 16749878684 16973696596 29703969043 46677665639 59407938086 93355331278 118815876172 186710662556 326743659473 653487318946 734112377777 1306974637892 1468224755554 2936449511108 5138786644439 8075236155547 10277573288878 16150472311094 20555146577756 32300944622188 56526653088829 113053306177658 226106612355316