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208221104 = 24713831723
BaseRepresentation
bin11000110100100…
…11001110110000
3112111210201122202
430122103032300
5411301033404
632354522332
75105564420
oct1432231660
9474721582
10208221104
11a7598663
12598963a8
13341a5270
141d922480
151343021e
hexc6933b0

208221104 has 80 divisors (see below), whose sum is σ = 502801152. Its totient is φ = 81333504.

The previous prime is 208221067. The next prime is 208221109. The reversal of 208221104 is 401122802.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (208221109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119987 + ... + 121709.

Almost surely, 2208221104 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 208221104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251400576).

208221104 is an abundant number, since it is smaller than the sum of its proper divisors (294580048).

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

208221104 is a wasteful number, since it uses less digits than its factorization.

208221104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 208221104 is about 14429.8684678690. The cubic root of 208221104 is about 592.7090815572.

Adding to 208221104 its reverse (401122802), we get a palindrome (609343906).

The spelling of 208221104 in words is "two hundred eight million, two hundred twenty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 83 91 104 112 166 182 208 332 364 581 664 728 1079 1162 1328 1456 1723 2158 2324 3446 4316 4648 6892 7553 8632 9296 12061 13784 15106 17264 22399 24122 27568 30212 44798 48244 60424 89596 96488 120848 143009 156793 179192 192976 286018 313586 358384 572036 627172 1001063 1144072 1254344 1859117 2002126 2288144 2508688 3718234 4004252 7436468 8008504 13013819 14872936 16017008 26027638 29745872 52055276 104110552 208221104