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21338226 = 23272131861
BaseRepresentation
bin101000101100…
…1100001110010
31111011002112200
41101121201302
520430310401
62041204030
7346241400
oct121314162
944132480
1021338226
11110547a8
127190616
134561590
142b96470
151d17686
hex1459872

21338226 has 72 divisors (see below), whose sum is σ = 57949164. Its totient is φ = 5624640.

The previous prime is 21338189. The next prime is 21338237. The reversal of 21338226 is 62283312.

It can be written as a sum of positive squares in 2 ways, for example, as 15093225 + 6245001 = 3885^2 + 2499^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 21338226.

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 35 ways as a sum of consecutive naturals, for example, 10536 + ... + 12396.

Almost surely, 221338226 is an apocalyptic number.

21338226 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 21338226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28974582).

21338226 is an abundant number, since it is smaller than the sum of its proper divisors (36610938).

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

21338226 is a wasteful number, since it uses less digits than its factorization.

21338226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1886 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 21338226 is about 4619.3317698559. The cubic root of 21338226 is about 277.3657105295.

The spelling of 21338226 in words is "twenty-one million, three hundred thirty-eight thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 441 546 637 819 882 1274 1638 1861 1911 3722 3822 5583 5733 11166 11466 13027 16749 24193 26054 33498 39081 48386 72579 78162 91189 117243 145158 169351 182378 217737 234486 273567 338702 435474 508053 547134 820701 1016106 1185457 1524159 1641402 2370914 3048318 3556371 7112742 10669113 21338226