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226289404760 = 23559137811863
BaseRepresentation
bin1101001010111111100…
…1100100101101011000
3210122002111102211010012
43102233321210231120
512201420041423020
6251542251141052
722230443126636
oct3225771445530
9718074384105
10226289404760
1187a725190a1
1237a33a44788
1318453a20b93
14ad497cc356
155d464427c5
hex34afe64b58

226289404760 has 128 divisors (see below), whose sum is σ = 522808473600. Its totient is φ = 88120949760.

The previous prime is 226289404739. The next prime is 226289404807. The reversal of 226289404760 is 67404982622.

It is a happy number.

It is a super-2 number, since 2×2262894047602 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 226289404699 and 226289404708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262212089 + ... + 262212951.

It is an arithmetic number, because the mean of its divisors is an integer number (4084441200).

Almost surely, 2226289404760 is an apocalyptic number.

226289404760 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 226289404760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261404236800).

226289404760 is an abundant number, since it is smaller than the sum of its proper divisors (296519068840).

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

226289404760 is a wasteful number, since it uses less digits than its factorization.

226289404760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 50.

The spelling of 226289404760 in words is "two hundred twenty-six billion, two hundred eighty-nine million, four hundred four thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 59 118 137 236 274 295 472 548 590 685 811 863 1096 1180 1370 1622 1726 2360 2740 3244 3452 4055 4315 5480 6488 6904 8083 8110 8630 16166 16220 17260 32332 32440 34520 40415 47849 50917 64664 80830 95698 101834 111107 118231 161660 191396 203668 222214 236462 239245 254585 323320 382792 407336 444428 472924 478490 509170 555535 591155 699893 888856 945848 956980 1018340 1111070 1182310 1399786 1913960 2036680 2222140 2364620 2799572 3499465 4444280 4729240 5599144 6555313 6975629 6998930 13110626 13951258 13997860 26221252 27902516 27995720 32776565 34878145 41293687 52442504 55805032 65553130 69756290 82587374 95885341 131106260 139512580 165174748 191770682 206468435 262212520 279025160 330349496 383541364 412936870 479426705 767082728 825873740 958853410 1651747480 1917706820 3835413640 5657235119 11314470238 22628940476 28286175595 45257880952 56572351190 113144702380 226289404760