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226075560 = 23353160773
BaseRepresentation
bin11010111100110…
…10001110101000
3120202101211100220
431132122032220
5430333404220
634233330040
75413416264
oct1536321650
9522354326
10226075560
11106682a07
1263866920
1337ab6c29
142204d0a4
1514caa540
hexd79a3a8

226075560 has 64 divisors (see below), whose sum is σ = 700116480. Its totient is φ = 58341120.

The previous prime is 226075559. The next prime is 226075601. The reversal of 226075560 is 65570622.

226075560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2260755603 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26667 + ... + 34106.

It is an arithmetic number, because the mean of its divisors is an integer number (10939320).

Almost surely, 2226075560 is an apocalyptic number.

226075560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226075560 is an abundant number, since it is smaller than the sum of its proper divisors (474040920).

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

226075560 is a wasteful number, since it uses less digits than its factorization.

226075560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60818 (or 60814 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 226075560 is about 15035.8092565715. The cubic root of 226075560 is about 609.1878109597.

The spelling of 226075560 in words is "two hundred twenty-six million, seventy-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 60773 121546 182319 243092 303865 364638 486184 607730 729276 911595 1215460 1458552 1823190 1883963 2430920 3646380 3767926 5651889 7292760 7535852 9419815 11303778 15071704 18839630 22607556 28259445 37679260 45215112 56518890 75358520 113037780 226075560