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208631712 = 25323611549
BaseRepresentation
bin11000110111101…
…11011110100000
3112112120120220110
430123313132200
5411402203322
632411411320
75112224502
oct1433673640
9475516813
10208631712
11a7849103
1259a53b40
13342ba123
141d9cbd72
15134b1c0c
hexc6f77a0

208631712 has 96 divisors (see below), whose sum is σ = 581212800. Its totient is φ = 65387520.

The previous prime is 208631707. The next prime is 208631747. The reversal of 208631712 is 217136802.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 208631712.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133914 + ... + 135462.

It is an arithmetic number, because the mean of its divisors is an integer number (6054300).

Almost surely, 2208631712 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 208631712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290606400).

208631712 is an abundant number, since it is smaller than the sum of its proper divisors (372581088).

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

208631712 is a wasteful number, since it uses less digits than its factorization.

208631712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 208631712 is about 14444.0891716993. The cubic root of 208631712 is about 593.0984293652.

The spelling of 208631712 in words is "two hundred eight million, six hundred thirty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 61 69 92 96 122 138 183 184 244 276 366 368 488 552 732 736 976 1104 1403 1464 1549 1952 2208 2806 2928 3098 4209 4647 5612 5856 6196 8418 9294 11224 12392 16836 18588 22448 24784 33672 35627 37176 44896 49568 67344 71254 74352 94489 106881 134688 142508 148704 188978 213762 283467 285016 377956 427524 566934 570032 755912 855048 1133868 1140064 1511824 1710096 2173247 2267736 3023648 3420192 4346494 4535472 6519741 8692988 9070944 13039482 17385976 26078964 34771952 52157928 69543904 104315856 208631712