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280142226 = 23471331613
BaseRepresentation
bin10000101100101…
…010000110010010
3201112010200220000
4100230222012102
51033204022401
643444230430
76641112120
oct2054520622
9645120800
10280142226
11134151001
127999b416
1346067340
14292c4910
15198da186
hex10b2a192

280142226 has 160 divisors (see below), whose sum is σ = 798809088. Its totient is φ = 71383680.

The previous prime is 280142197. The next prime is 280142263. The reversal of 280142226 is 622241082.

It is a happy number.

It is a super-3 number, since 3×2801422263 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 280142226.

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 79 ways as a sum of consecutive naturals, for example, 456696 + ... + 457308.

Almost surely, 2280142226 is an apocalyptic number.

280142226 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 280142226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399404544).

280142226 is an abundant number, since it is smaller than the sum of its proper divisors (518666862).

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

280142226 is a wasteful number, since it uses less digits than its factorization.

280142226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 280142226 is about 16737.4498057500. The cubic root of 280142226 is about 654.3240124968.

The spelling of 280142226 in words is "two hundred eighty million, one hundred forty-two thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 31 39 42 54 62 63 78 81 91 93 117 126 162 182 186 189 217 234 273 279 351 378 403 434 546 558 567 613 651 702 806 819 837 1053 1134 1209 1226 1302 1638 1674 1839 1953 2106 2418 2457 2511 2821 3627 3678 3906 4291 4914 5022 5517 5642 5859 7254 7371 7969 8463 8582 10881 11034 11718 12873 14742 15938 16551 16926 17577 19003 21762 23907 25389 25746 32643 33102 35154 38006 38619 47814 49653 50778 55783 57009 65286 71721 76167 77238 99306 111566 114018 115857 133021 143442 152334 167349 171027 215163 228501 231714 247039 266042 334698 342054 347571 399063 430326 457002 494078 502047 513081 645489 695142 741117 798126 1004094 1026162 1197189 1290978 1482234 1506141 1539243 1729273 2223351 2394378 3012282 3078486 3458546 3591567 4446702 4518423 5187819 6670053 7183134 9036846 10375638 10774701 13340106 15563457 20010159 21549402 31126914 40020318 46690371 93380742 140071113 280142226