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480860226 = 23472115507
BaseRepresentation
bin11100101010010…
…101100001000010
31020111211020020000
4130222111201002
51441100011401
6115414300430
714626146600
oct3452254102
91214736200
10480860226
11227484450
12115057716
13788133a2
1447c12870
152c337186
hex1ca95842

480860226 has 120 divisors (see below), whose sum is σ = 1367592336. Its totient is φ = 124876080.

The previous prime is 480860213. The next prime is 480860257. The reversal of 480860226 is 622068084.

480860226 is a `hidden beast` number, since 48 + 0 + 8 + 602 + 2 + 6 = 666.

It is a super-3 number, since 3×4808602263 (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 84565 + ... + 90071.

Almost surely, 2480860226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480860226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683796168).

480860226 is an abundant number, since it is smaller than the sum of its proper divisors (886732110).

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

480860226 is a wasteful number, since it uses less digits than its factorization.

480860226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5546 (or 5530 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 480860226 is about 21928.5253950192. The cubic root of 480860226 is about 783.4409811721.

The spelling of 480860226 in words is "four hundred eighty million, eight hundred sixty thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 49 54 63 66 77 81 98 99 126 147 154 162 189 198 231 294 297 378 441 462 539 567 594 693 882 891 1078 1134 1323 1386 1617 1782 2079 2646 3234 3969 4158 4851 5507 6237 7938 9702 11014 12474 14553 16521 29106 33042 38549 43659 49563 60577 77098 87318 99126 115647 121154 148689 181731 231294 269843 297378 346941 363462 424039 446067 539686 545193 693882 809529 848078 892134 1040823 1090386 1272117 1619058 1635579 2081646 2428587 2544234 2968273 3122469 3271158 3816351 4857174 4906737 5936546 6244938 7285761 7632702 8904819 9813474 11449053 14571522 17809638 21857283 22898106 26714457 34347159 43714566 53428914 68694318 80143371 160286742 240430113 480860226