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226414760 = 2351113231721
BaseRepresentation
bin11010111111011…
…01000010101000
3120210001001122212
431133231002220
5430430233020
634244504252
75416331225
oct1537550250
9523031585
10226414760
11106894840
12639ab088
1337ba5440
14220da94c
1514d25cc5
hexd7ed0a8

226414760 has 128 divisors (see below), whose sum is σ = 624879360. Its totient is φ = 72652800.

The previous prime is 226414757. The next prime is 226414807. The reversal of 226414760 is 67414622.

226414760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 130700 + ... + 132420.

It is an arithmetic number, because the mean of its divisors is an integer number (4881870).

Almost surely, 2226414760 is an apocalyptic number.

226414760 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 226414760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312439680).

226414760 is an abundant number, since it is smaller than the sum of its proper divisors (398464600).

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

226414760 is a wasteful number, since it uses less digits than its factorization.

226414760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 226414760 is about 15047.0847674890. The cubic root of 226414760 is about 609.4923304559.

The spelling of 226414760 in words is "two hundred twenty-six million, four hundred fourteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 20 22 23 26 40 44 46 52 55 65 88 92 104 110 115 130 143 184 220 230 253 260 286 299 440 460 506 520 572 598 715 920 1012 1144 1196 1265 1430 1495 1721 2024 2392 2530 2860 2990 3289 3442 5060 5720 5980 6578 6884 8605 10120 11960 13156 13768 16445 17210 18931 22373 26312 32890 34420 37862 39583 44746 65780 68840 75724 79166 89492 94655 111865 131560 151448 158332 178984 189310 197915 223730 246103 316664 378620 395830 435413 447460 492206 514579 757240 791660 870826 894920 984412 1029158 1230515 1583320 1741652 1968824 2058316 2177065 2461030 2572895 3483304 4116632 4354130 4922060 5145790 5660369 8708260 9844120 10291580 11320738 17416520 20583160 22641476 28301845 45282952 56603690 113207380 226414760