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226650164040 = 23335346360601
BaseRepresentation
bin1101001100010101100…
…1110000101101001000
3210200000122021021211000
43103011121300231020
512203134420222130
6252042135335000
722242413415156
oct3230531605510
9720018237730
10226650164040
1188138121963
1237b14821460
13184b06a3401
14ad8169a3d6
155d67e54260
hex34c5670b48

226650164040 has 128 divisors (see below), whose sum is σ = 755731180800. Its totient is φ = 60421593600.

The previous prime is 226650164029. The next prime is 226650164077. The reversal of 226650164040 is 40461056622.

226650164040 is a `hidden beast` number, since 2 + 2 + 6 + 6 + 5 + 0 + 1 + 640 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 226650163986 and 226650164004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3709740 + ... + 3770340.

It is an arithmetic number, because the mean of its divisors is an integer number (5904149850).

Almost surely, 2226650164040 is an apocalyptic number.

226650164040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226650164040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377865590400).

226650164040 is an abundant number, since it is smaller than the sum of its proper divisors (529081016760).

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

226650164040 is a wasteful number, since it uses less digits than its factorization.

226650164040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64084 (or 64074 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 226650164040 in words is "two hundred twenty-six billion, six hundred fifty million, one hundred sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 3463 6926 10389 13852 17315 20778 27704 31167 34630 41556 51945 60601 62334 69260 83112 93501 103890 121202 124668 138520 155835 181803 187002 207780 242404 249336 303005 311670 363606 374004 415560 467505 484808 545409 606010 623340 727212 748008 909015 935010 1090818 1212020 1246680 1454424 1636227 1818030 1870020 2181636 2424040 2727045 3272454 3636060 3740040 4363272 5454090 6544908 7272120 8181135 10908180 13089816 16362270 21816360 32724540 65449080 209861263 419722526 629583789 839445052 1049306315 1259167578 1678890104 1888751367 2098612630 2518335156 3147918945 3777502734 4197225260 5036670312 5666254101 6295837890 7555005468 8394450520 9443756835 11332508202 12591675780 15110010936 18887513670 22665016404 25183351560 28331270505 37775027340 45330032808 56662541010 75550054680 113325082020 226650164040