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208868688 = 24327353587
BaseRepresentation
bin11000111001100…
…01010101010000
3112120000121222100
430130301111100
5411432244223
632420440400
75114232420
oct1434612520
9476017870
10208868688
11a79a0156
1259b49100
1334370c52
141da50480
151350c043
hexc731550

208868688 has 120 divisors (see below), whose sum is σ = 671082048. Its totient is φ = 59406336.

The previous prime is 208868683. The next prime is 208868711. The reversal of 208868688 is 886868802.

208868688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2088686882 = 87252257653682688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208868683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355531 + ... + 356117.

Almost surely, 2208868688 is an apocalyptic number.

208868688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208868688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335541024).

208868688 is an abundant number, since it is smaller than the sum of its proper divisors (462213360).

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

208868688 is a wasteful number, since it uses less digits than its factorization.

208868688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The square root of 208868688 is about 14452.2900607482. The cubic root of 208868688 is about 593.3229029293.

The spelling of 208868688 in words is "two hundred eight million, eight hundred sixty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 353 504 587 706 1008 1059 1174 1412 1761 2118 2348 2471 2824 3177 3522 4109 4236 4696 4942 5283 5648 6354 7044 7413 8218 8472 9392 9884 10566 12327 12708 14088 14826 16436 16944 19768 21132 22239 24654 25416 28176 29652 32872 36981 39536 42264 44478 49308 50832 59304 65744 73962 84528 88956 98616 118608 147924 177912 197232 207211 295848 355824 414422 591696 621633 828844 1243266 1450477 1657688 1864899 2486532 2900954 3315376 3729798 4351431 4973064 5801908 7459596 8702862 9946128 11603816 13054293 14919192 17405724 23207632 26108586 29838384 34811448 52217172 69622896 104434344 208868688