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226315760 = 24511257177
BaseRepresentation
bin11010111110101…
…00110111110000
3120202212000212012
431133110313300
5430414101020
634242422052
75415436466
oct1537246760
9522760765
10226315760
11106827420
1263961928
1337b6c368
14220b2836
1514d067c5
hexd7d4df0

226315760 has 40 divisors (see below), whose sum is σ = 574021296. Its totient is φ = 82296320.

The previous prime is 226315741. The next prime is 226315811. The reversal of 226315760 is 67513622.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127709 + ... + 129468.

Almost surely, 2226315760 is an apocalyptic number.

226315760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226315760 is an abundant number, since it is smaller than the sum of its proper divisors (347705536).

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

226315760 is a wasteful number, since it uses less digits than its factorization.

226315760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257201 (or 257195 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 226315760 is about 15043.7947340423. The cubic root of 226315760 is about 609.4034838669.

The spelling of 226315760 in words is "two hundred twenty-six million, three hundred fifteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 257177 514354 1028708 1285885 2057416 2571770 2828947 4114832 5143540 5657894 10287080 11315788 14144735 20574160 22631576 28289470 45263152 56578940 113157880 226315760