Search a number
-
+
13221208 = 23711132127
BaseRepresentation
bin110010011011…
…110101011000
3220212201002101
4302123311120
511341034313
61151213144
7220243540
oct62336530
926781071
1013221208
117510320
1245171b4
13297bb00
141a82320
1512625dd
hexc9bd58

13221208 has 96 divisors (see below), whose sum is σ = 33730560. Its totient is φ = 4717440.

The previous prime is 13221199. The next prime is 13221209. The reversal of 13221208 is 80212231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104041 + ... + 104167.

It is an arithmetic number, because the mean of its divisors is an integer number (351360).

Almost surely, 213221208 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 13221208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16865280).

13221208 is an abundant number, since it is smaller than the sum of its proper divisors (20509352).

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

13221208 is a wasteful number, since it uses less digits than its factorization.

13221208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 13221208 is about 3636.0979084728. The cubic root of 13221208 is about 236.4596519004.

Adding to 13221208 its reverse (80212231), we get a palindrome (93433439).

The spelling of 13221208 in words is "thirteen million, two hundred twenty-one thousand, two hundred eight".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 127 143 154 169 182 254 286 308 338 364 508 572 616 676 728 889 1001 1016 1144 1183 1352 1397 1651 1778 1859 2002 2366 2794 3302 3556 3718 4004 4732 5588 6604 7112 7436 8008 9464 9779 11176 11557 13013 13208 14872 18161 19558 21463 23114 26026 36322 39116 42926 46228 52052 72644 78232 85852 92456 104104 127127 145288 150241 171704 236093 254254 300482 472186 508508 600964 944372 1017016 1201928 1652651 1888744 3305302 6610604 13221208