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278226 = 232132941
BaseRepresentation
bin1000011111011010010
3112010122200
41003323102
532400401
65544030
72236104
oct1037322
9463580
10278226
11180043
12115016
1399840
1473574
1557686
hex43ed2

278226 has 48 divisors (see below), whose sum is σ = 687960. Its totient is φ = 80640.

The previous prime is 278219. The next prime is 278227. The reversal of 278226 is 622872.

278226 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 119025 + 159201 = 345^2 + 399^2 .

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 278226.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 278226.

It is not an unprimeable number, because it can be changed into a prime (278227) by changing a digit.

278226 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6766 + ... + 6806.

2278226 is an apocalyptic number.

278226 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 278226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343980).

278226 is an abundant number, since it is smaller than the sum of its proper divisors (409734).

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

278226 is a wasteful number, since it uses less digits than its factorization.

278226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 88 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 278226 is about 527.4713262349. The cubic root of 278226 is about 65.2828697736.

The spelling of 278226 in words is "two hundred seventy-eight thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 29 39 41 58 78 82 87 117 123 174 234 246 261 369 377 522 533 738 754 1066 1131 1189 1599 2262 2378 3198 3393 3567 4797 6786 7134 9594 10701 15457 21402 30914 46371 92742 139113 278226