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208161090 = 2355175039
BaseRepresentation
bin11000110100001…
…00100101000010
3112111200200100000
430122010211002
5411242123330
632353340430
75105224434
oct1432044502
9474620300
10208161090
11a7557565
1259867716
1334183b57
141d908654
151341c560
hexc684942

208161090 has 96 divisors (see below), whose sum is σ = 594397440. Its totient is φ = 52233984.

The previous prime is 208161089. The next prime is 208161091. The reversal of 208161090 is 90161802.

It is an interprime number because it is at equal distance from previous prime (208161089) and next prime (208161091).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (208161091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38791 + ... + 43829.

It is an arithmetic number, because the mean of its divisors is an integer number (6191640).

Almost surely, 2208161090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208161090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297198720).

208161090 is an abundant number, since it is smaller than the sum of its proper divisors (386236350).

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

208161090 is a wasteful number, since it uses less digits than its factorization.

208161090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5078 (or 5066 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 208161090 is about 14427.7888118727. The cubic root of 208161090 is about 592.6521320612.

The spelling of 208161090 in words is "two hundred eight million, one hundred sixty-one thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 243 255 270 306 405 459 486 510 765 810 918 1215 1377 1530 2295 2430 2754 4131 4590 5039 6885 8262 10078 13770 15117 20655 25195 30234 41310 45351 50390 75585 85663 90702 136053 151170 171326 226755 256989 272106 408159 428315 453510 513978 680265 770967 816318 856630 1224477 1284945 1360530 1541934 2040795 2312901 2448954 2569890 3854835 4081590 4625802 6122385 6938703 7709670 11564505 12244770 13877406 20816109 23129010 34693515 41632218 69387030 104080545 208161090