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226541056237065 = 32561724311394259
BaseRepresentation
bin110011100000100110110011…
…001011110001111000001001
31002201010010001201101202201200
4303200212303023301320021
5214143122040344041230
62121451305143334413
765501023363104363
oct6340466313617011
91081103051352650
10226541056237065
1166201582372869
12214a9211451409
1399539648a016b
143dd290784bd33
151b2ccbd0b7160
hexce09b32f1e09

226541056237065 has 48 divisors (see below), whose sum is σ = 399163534011840. Its totient is φ = 118824791667840.

The previous prime is 226541056237049. The next prime is 226541056237091. The reversal of 226541056237065 is 560732650145622.

226541056237065 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 4 + 1 + 0 + 5 + 623 + 7 + 0 + 6 + 5 = 666.

It is not a de Polignac number, because 226541056237065 - 24 = 226541056237049 is a prime.

It is a super-2 number, since 2×2265410562370652 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 14184906 + ... + 25579164.

It is an arithmetic number, because the mean of its divisors is an integer number (8315906958580).

Almost surely, 2226541056237065 is an apocalyptic number.

It is an amenable number.

226541056237065 is a deficient number, since it is larger than the sum of its proper divisors (172622477774775).

226541056237065 is a wasteful number, since it uses less digits than its factorization.

226541056237065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11401574 (or 11401571 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 226541056237065 in words is "two hundred twenty-six trillion, five hundred forty-one billion, fifty-six million, two hundred thirty-seven thousand, sixty-five".

Divisors: 1 3 5 9 15 45 61 183 305 549 915 2745 7243 21729 36215 65187 108645 325935 441823 1325469 2209115 3976407 6627345 11394259 19882035 34182777 56971295 102548331 170913885 512741655 695049799 2085149397 3475248995 6255448191 10425746985 31277240955 82528617937 247585853811 412643089685 742757561433 1237929269055 3713787807165 5034245694157 15102737082471 25171228470785 45308211247413 75513685412355 226541056237065