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12206208 = 273719239
BaseRepresentation
bin101110100100…
…000010000000
3211222010202210
4232210002000
511111044313
61113342120
7205515420
oct56440200
924863683
1012206208
116987783
124107940
1326b4b11
14189a480
1511119c3
hexba4080

12206208 has 128 divisors (see below), whose sum is σ = 39168000. Its totient is φ = 3290112.

The previous prime is 12206203. The next prime is 12206209. The reversal of 12206208 is 80260221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (12206203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50953 + ... + 51191.

It is an arithmetic number, because the mean of its divisors is an integer number (306000).

Almost surely, 212206208 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 12206208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19584000).

12206208 is an abundant number, since it is smaller than the sum of its proper divisors (26961792).

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

12206208 is a wasteful number, since it uses less digits than its factorization.

12206208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 12206208 is about 3493.7383989074. The cubic root of 12206208 is about 230.2467924353.

Adding to 12206208 its reverse (80260221), we get a palindrome (92466429).

The spelling of 12206208 in words is "twelve million, two hundred six thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 239 266 304 336 384 399 448 456 478 532 608 672 717 798 896 912 956 1064 1216 1344 1434 1596 1673 1824 1912 2128 2432 2688 2868 3192 3346 3648 3824 4256 4541 5019 5736 6384 6692 7296 7648 8512 9082 10038 11472 12768 13384 13623 15296 17024 18164 20076 22944 25536 26768 27246 30592 31787 36328 40152 45888 51072 53536 54492 63574 72656 80304 91776 95361 107072 108984 127148 145312 160608 190722 214144 217968 254296 290624 321216 381444 435936 508592 581248 642432 762888 871872 1017184 1525776 1743744 2034368 3051552 4068736 6103104 12206208