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226510350300641 = 11214095009265241
BaseRepresentation
bin110011100000001010001100…
…111101111011010111100001
31002201000011210202202120122002
4303200022030331323113201
5214142121144134110031
62121425230212453345
765465555432001011
oct6340121475732741
91081004722676562
10226510350300641
116619a5556a5300
12214a328201a255
139950ab019a904
143dd1233761c41
151b2c0c24e6ccb
hexce028cf7b5e1

226510350300641 has 24 divisors (see below), whose sum is σ = 249201569622600. Its totient is φ = 205730498969600.

The previous prime is 226510350300623. The next prime is 226510350300673. The reversal of 226510350300641 is 146003053015622.

It can be written as a sum of positive squares in 4 ways, for example, as 38922675350416 + 187587674950225 = 6238804^2 + 13696265^2 .

It is a de Polignac number, because none of the positive numbers 2k-226510350300641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 226510350300595 and 226510350300604.

It is not an unprimeable number, because it can be changed into a prime (226510350300841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 853846781 + ... + 854112021.

It is an arithmetic number, because the mean of its divisors is an integer number (10383398734275).

Almost surely, 2226510350300641 is an apocalyptic number.

It is an amenable number.

226510350300641 is a deficient number, since it is larger than the sum of its proper divisors (22691219321959).

226510350300641 is a wasteful number, since it uses less digits than its factorization.

226510350300641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271681 (or 271670 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The spelling of 226510350300641 in words is "two hundred twenty-six trillion, five hundred ten billion, three hundred fifty million, three hundred thousand, six hundred forty-one".

Divisors: 1 11 121 1409 5009 15499 55099 170489 265241 606089 2917651 7057681 32094161 77634491 373724569 853979401 1328592169 4110970259 14614513859 45220672849 160759652449 1871986366121 20591850027331 226510350300641