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13226616 = 23321321087
BaseRepresentation
bin110010011101…
…001001111000
3220212222111200
4302131021320
511341222431
61151254200
7220265364
oct62351170
926788450
1013226616
117514397
12451a360
132981400
141a842a4
151263ee6
hexc9d278

13226616 has 72 divisors (see below), whose sum is σ = 38825280. Its totient is φ = 4065984.

The previous prime is 13226611. The next prime is 13226617. The reversal of 13226616 is 61662231.

13226616 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×132266162 = 349886741622912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13226616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13226611) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11625 + ... + 12711.

It is an arithmetic number, because the mean of its divisors is an integer number (539240).

Almost surely, 213226616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13226616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19412640).

13226616 is an abundant number, since it is smaller than the sum of its proper divisors (25598664).

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

13226616 is a wasteful number, since it uses less digits than its factorization.

13226616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1105 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 13226616 is about 3636.8414867849. The cubic root of 13226616 is about 236.4918879735.

Adding to 13226616 its reverse (61662231), we get a palindrome (74888847).

The spelling of 13226616 in words is "thirteen million, two hundred twenty-six thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1087 1352 1521 2028 2174 3042 3261 4056 4348 6084 6522 8696 9783 12168 13044 14131 19566 26088 28262 39132 42393 56524 78264 84786 113048 127179 169572 183703 254358 339144 367406 508716 551109 734812 1017432 1102218 1469624 1653327 2204436 3306654 4408872 6613308 13226616