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226101543055362 = 232131019566791193
BaseRepresentation
bin110011011010001101011110…
…001010000011000000000010
31002122120002121021210210101200
4303122031132022003000002
5214113421430010232422
62120513340454442030
765424204004516032
oct6332153612030002
91078502537723350
10226101543055362
11660521426661a7
1221437bb1363316
13992138ccca840
143db9531a018c2
151b216477e92ac
hexcda35e283002

226101543055362 has 48 divisors (see below), whose sum is σ = 532793735176248. Its totient is φ = 68880896582400.

The previous prime is 226101543055361. The next prime is 226101543055391. The reversal of 226101543055362 is 263550345101622.

226101543055362 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 0 + 1 + 5 + 4 + 30 + 553 + 62 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 219356567897481 + 6744975157881 = 14810691^2 + 2597109^2 .

It is a super-2 number, since 2×2261015430553622 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226101543055361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4783371963 + ... + 4783419230.

Almost surely, 2226101543055362 is an apocalyptic number.

226101543055362 is an abundant number, since it is smaller than the sum of its proper divisors (306692192120886).

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

226101543055362 is a wasteful number, since it uses less digits than its factorization.

226101543055362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9566791315 (or 9566791312 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

Adding to 226101543055362 its reverse (263550345101622), we get a palindrome (489651888156984).

The spelling of 226101543055362 in words is "two hundred twenty-six trillion, one hundred one billion, five hundred forty-three million, fifty-five thousand, three hundred sixty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 101 117 202 234 303 606 909 1313 1818 2626 3939 7878 11817 23634 9566791193 19133582386 28700373579 57400747158 86101120737 124368285509 172202241474 248736571018 373104856527 746209713054 966245910493 1119314569581 1932491820986 2238629139162 2898737731479 5797475462958 8696213194437 12561196836409 17392426388874 25122393672818 37683590509227 75367181018454 113050771527681 226101543055362