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208871168 = 28113613
BaseRepresentation
bin11000111001100…
…01111100000000
3112120000202101012
430130301330000
5411432334133
632420500052
75114242562
oct1434617400
9476022335
10208871168
11a79a2000
1259b4a628
133437210c
141da51332
151350cb48
hexc731f00

208871168 has 72 divisors (see below), whose sum is σ = 459335856. Its totient is φ = 94786560.

The previous prime is 208871147. The next prime is 208871183. The reversal of 208871168 is 861178802.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 340430 + ... + 341042.

Almost surely, 2208871168 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 208871168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229667928).

208871168 is an abundant number, since it is smaller than the sum of its proper divisors (250464688).

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

208871168 is an frugal number, since it uses more digits than its factorization.

208871168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 41.

The square root of 208871168 is about 14452.3758600446. The cubic root of 208871168 is about 593.3252511910.

The spelling of 208871168 in words is "two hundred eight million, eight hundred seventy-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 613 704 968 1226 1331 1408 1936 2452 2662 2816 3872 4904 5324 6743 7744 9808 10648 13486 15488 19616 21296 26972 30976 39232 42592 53944 74173 78464 85184 107888 148346 156928 170368 215776 296692 340736 431552 593384 815903 863104 1186768 1631806 1726208 2373536 3263612 4747072 6527224 9494144 13054448 18988288 26108896 52217792 104435584 208871168