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226855264582360 = 23563133012722789
BaseRepresentation
bin110011100101001011011011…
…011101011111101011011000
31002202020011002102211112001201
4303211023123131133223120
5214213244040213113420
62122251511514523544
765532515636011201
oct6345133335375330
91082204072745051
10226855264582360
1166312860830197
122153a0a11365b4
13997748a22757b
144003bd39bc5a8
151b3605cd1110a
hexce52db75fad8

226855264582360 has 64 divisors (see below), whose sum is σ = 511388318750400. Its totient is φ = 90570820032000.

The previous prime is 226855264582333. The next prime is 226855264582369. The reversal of 226855264582360 is 63285462558622.

It is a super-2 number, since 2×2268552645823602 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 226855264582292 and 226855264582301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226855264582369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81955846 + ... + 84678634.

It is an arithmetic number, because the mean of its divisors is an integer number (7990442480475).

Almost surely, 2226855264582360 is an apocalyptic number.

226855264582360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226855264582360 is an abundant number, since it is smaller than the sum of its proper divisors (284533054168040).

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

226855264582360 is a wasteful number, since it uses less digits than its factorization.

226855264582360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726732 (or 2726728 counting only the distinct ones).

The product of its (nonzero) digits is 331776000, while the sum is 64.

The spelling of 226855264582360 in words is "two hundred twenty-six trillion, eight hundred fifty-five billion, two hundred sixty-four million, five hundred eighty-two thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 631 1262 2524 3155 3301 5048 6310 6602 12620 13204 16505 25240 26408 33010 66020 132040 2082931 2722789 4165862 5445578 8331724 10414655 10891156 13613945 16663448 20829310 21782312 27227890 41658620 54455780 83317240 108911560 1718079859 3436159718 6872319436 8590399295 8987926489 13744638872 17180798590 17975852978 34361597180 35951705956 44939632445 68723194360 71903411912 89879264890 179758529780 359517059560 5671381614559 11342763229118 22685526458236 28356908072795 45371052916472 56713816145590 113427632291180 226855264582360