Search a number
-
+
208932306192 = 243219100975683
BaseRepresentation
bin1100001010010101010…
…1011111110100010000
3201222021211222212001200
43002211111133310100
511410343132244232
6235552052231200
721044352205011
oct3024525376420
9658254885050
10208932306192
1180675927035
12345ab00b500
1316918a5a55c
14a180515008
15567c72d77c
hex30a555fd10

208932306192 has 120 divisors (see below), whose sum is σ = 616113170400. Its totient is φ = 65912361984.

The previous prime is 208932306157. The next prime is 208932306229. The reversal of 208932306192 is 291603239802.

It is a happy number.

208932306192 is a `hidden beast` number, since 2 + 0 + 8 + 9 + 3 + 23 + 0 + 619 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2722783 + ... + 2798465.

It is an arithmetic number, because the mean of its divisors is an integer number (5134276420).

Almost surely, 2208932306192 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 208932306192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308056585200).

208932306192 is an abundant number, since it is smaller than the sum of its proper divisors (407180864208).

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

208932306192 is a wasteful number, since it uses less digits than its factorization.

208932306192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76725 (or 76716 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 208932306192 in words is "two hundred eight billion, nine hundred thirty-two million, three hundred six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1009 1368 2018 2736 3027 4036 6054 8072 9081 12108 16144 18162 19171 24216 36324 38342 48432 57513 72648 75683 76684 115026 145296 151366 153368 172539 227049 230052 302732 306736 345078 454098 460104 605464 681147 690156 908196 920208 1210928 1362294 1380312 1437977 1816392 2724588 2760624 2875954 3632784 4313931 5449176 5751908 8627862 10898352 11503816 12941793 17255724 23007632 25883586 34511448 51767172 69022896 76364147 103534344 152728294 207068688 229092441 305456588 458184882 610913176 687277323 916369764 1221826352 1374554646 1450918793 1832739528 2749109292 2901837586 3665479056 4352756379 5498218584 5803675172 8705512758 10996437168 11607350344 13058269137 17411025516 23214700688 26116538274 34822051032 52233076548 69644102064 104466153096 208932306192