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226268380 = 225133167419
BaseRepresentation
bin11010111110010…
…01010011011100
3120202202121212101
431133021103130
5430411042010
634241414444
75415151402
oct1537112334
9522677771
10226268380
111067a4868
126393a424
1337b53920
142209d472
1514ce773a
hexd7c94dc

226268380 has 96 divisors (see below), whose sum is σ = 537384960. Its totient is φ = 79453440.

The previous prime is 226268377. The next prime is 226268417. The reversal of 226268380 is 83862622.

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, 539811 + ... + 540229.

It is an arithmetic number, because the mean of its divisors is an integer number (5597760).

Almost surely, 2226268380 is an apocalyptic number.

226268380 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 226268380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268692480).

226268380 is an abundant number, since it is smaller than the sum of its proper divisors (311116580).

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

226268380 is a wasteful number, since it uses less digits than its factorization.

226268380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 226268380 is about 15042.2199159566. The cubic root of 226268380 is about 609.3609539782.

The spelling of 226268380 in words is "two hundred twenty-six million, two hundred sixty-eight thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 67 124 130 134 155 260 268 310 335 403 419 620 670 806 838 871 1340 1612 1676 1742 2015 2077 2095 3484 4030 4154 4190 4355 5447 8060 8308 8380 8710 10385 10894 12989 17420 20770 21788 25978 27001 27235 28073 41540 51956 54002 54470 56146 64945 108004 108940 112292 129890 135005 140365 168857 259780 270010 280730 337714 364949 540020 561460 675428 729898 844285 870263 1459796 1688570 1740526 1824745 3377140 3481052 3649490 4351315 7298980 8702630 11313419 17405260 22626838 45253676 56567095 113134190 226268380