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226561860 = 22345719979
BaseRepresentation
bin11011000000100…
…00111101000100
3120210022112110000
431200100331010
5430444434420
634252001300
75420513130
oct1540207504
9523275400
10226561860
11106985308
1263a60230
1337c27395
14221383c0
1514d54690
hexd810f44

226561860 has 120 divisors (see below), whose sum is σ = 812306880. Its totient is φ = 51782976.

The previous prime is 226561849. The next prime is 226561877. The reversal of 226561860 is 68165622.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1351 + ... + 21329.

It is an arithmetic number, because the mean of its divisors is an integer number (6769224).

Almost surely, 2226561860 is an apocalyptic number.

226561860 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 226561860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406153440).

226561860 is an abundant number, since it is smaller than the sum of its proper divisors (585745020).

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

226561860 is a wasteful number, since it uses less digits than its factorization.

226561860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20007 (or 19996 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 226561860 is about 15051.9719638325. The cubic root of 226561860 is about 609.6242961052.

The spelling of 226561860 in words is "two hundred twenty-six million, five hundred sixty-one thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 11340 19979 39958 59937 79916 99895 119874 139853 179811 199790 239748 279706 299685 359622 399580 419559 539433 559412 599370 699265 719244 839118 899055 1078866 1198740 1258677 1398530 1618299 1678236 1798110 2097795 2157732 2517354 2697165 2797060 3236598 3596220 3776031 4195590 5034708 5394330 6293385 6473196 7552062 8091495 8391180 10788660 11328093 12586770 15104124 16182990 18880155 22656186 25173540 32365980 37760310 45312372 56640465 75520620 113280930 226561860