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206112216 = 233173831319
BaseRepresentation
bin11000100100100…
…00010111011000
3112100211120210210
430102100113120
5410231042331
632241411120
75051632152
oct1422202730
9470746723
10206112216
11a6388182
1259039aa0
13339173bb
141d533ad2
1513165446
hexc4905d8

206112216 has 64 divisors (see below), whose sum is σ = 547430400. Its totient is φ = 64444928.

The previous prime is 206112197. The next prime is 206112217. The reversal of 206112216 is 612211602.

It is a junction number, because it is equal to n+sod(n) for n = 206112192 and 206112201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206112217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155605 + ... + 156923.

It is an arithmetic number, because the mean of its divisors is an integer number (8553600).

Almost surely, 2206112216 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 206112216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273715200).

206112216 is an abundant number, since it is smaller than the sum of its proper divisors (341318184).

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

206112216 is a wasteful number, since it uses less digits than its factorization.

206112216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 206112216 is about 14356.6087917725. The cubic root of 206112216 is about 590.7012785445.

Adding to 206112216 its reverse (612211602), we get a palindrome (818323818).

The spelling of 206112216 in words is "two hundred six million, one hundred twelve thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 383 408 766 1149 1319 1532 2298 2638 3064 3957 4596 5276 6511 7914 9192 10552 13022 15828 19533 22423 26044 31656 39066 44846 52088 67269 78132 89692 134538 156264 179384 269076 505177 538152 1010354 1515531 2020708 3031062 4041416 6062124 8588009 12124248 17176018 25764027 34352036 51528054 68704072 103056108 206112216