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206421168 = 243191132003
BaseRepresentation
bin11000100110110…
…11110010110000
3112101102021121110
430103123302300
5410320434133
632252153320
75054356662
oct1423336260
9471367543
10206421168
11a6579308
1259168840
13339c4c05
141d5b4532
15131c6c63
hexc4dbcb0

206421168 has 80 divisors (see below), whose sum is σ = 566570880. Its totient is φ = 64576512.

The previous prime is 206421161. The next prime is 206421169. The reversal of 206421168 is 861124602.

206421168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (206421161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102055 + ... + 104057.

It is an arithmetic number, because the mean of its divisors is an integer number (7082136).

Almost surely, 2206421168 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 206421168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283285440).

206421168 is an abundant number, since it is smaller than the sum of its proper divisors (360149712).

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

206421168 is a wasteful number, since it uses less digits than its factorization.

206421168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 206421168 is about 14367.3646852859. The cubic root of 206421168 is about 590.9962751819.

It can be divided in two parts, 2064 and 21168, that added together give a palindrome (23232).

The spelling of 206421168 in words is "two hundred six million, four hundred twenty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 113 114 152 226 228 304 339 452 456 678 904 912 1356 1808 2003 2147 2712 4006 4294 5424 6009 6441 8012 8588 12018 12882 16024 17176 24036 25764 32048 34352 38057 48072 51528 76114 96144 103056 114171 152228 226339 228342 304456 452678 456684 608912 679017 905356 913368 1358034 1810712 1826736 2716068 3621424 4300441 5432136 8600882 10864272 12901323 17201764 25802646 34403528 51605292 68807056 103210584 206421168