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208211808 = 2537833733
BaseRepresentation
bin11000110100100…
…00111101100000
3112111210020220110
430122100331200
5411300234213
632354411320
75105525340
oct1432207540
9474706813
10208211808
11a7591682
1259890b40
13341a0c6c
141d91cd20
151342c5c3
hexc690f60

208211808 has 96 divisors (see below), whose sum is σ = 632330496. Its totient is φ = 58756608.

The previous prime is 208211797. The next prime is 208211819. The reversal of 208211808 is 808112802.

It is an interprime number because it is at equal distance from previous prime (208211797) and next prime (208211819).

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

It is a congruent number.

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, 53910 + ... + 57642.

It is an arithmetic number, because the mean of its divisors is an integer number (6586776).

Almost surely, 2208211808 is an apocalyptic number.

208211808 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 208211808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316165248).

208211808 is an abundant number, since it is smaller than the sum of its proper divisors (424118688).

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

208211808 is a wasteful number, since it uses less digits than its factorization.

208211808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3836 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The square root of 208211808 is about 14429.5463546156. The cubic root of 208211808 is about 592.7002609566.

The spelling of 208211808 in words is "two hundred eight million, two hundred eleven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 83 84 96 112 166 168 224 249 332 336 498 581 664 672 996 1162 1328 1743 1992 2324 2656 3486 3733 3984 4648 6972 7466 7968 9296 11199 13944 14932 18592 22398 26131 27888 29864 44796 52262 55776 59728 78393 89592 104524 119456 156786 179184 209048 309839 313572 358368 418096 619678 627144 836192 929517 1239356 1254288 1859034 2168873 2478712 2508576 3718068 4337746 4957424 6506619 7436136 8675492 9914848 13013238 14872272 17350984 26026476 29744544 34701968 52052952 69403936 104105904 208211808