Search a number
-
+
206665242 = 23721936997
BaseRepresentation
bin11000101000101…
…11011000011010
3112101212200102020
430110113120122
5410401241432
632301315310
75056424400
oct1424273032
9471780366
10206665242
11a6725723
1259265b36
1333a7c034
141d639470
151322422c
hexc51761a

206665242 has 48 divisors (see below), whose sum is σ = 506132640. Its totient is φ = 55937952.

The previous prime is 206665241. The next prime is 206665279. The reversal of 206665242 is 242566602.

206665242 is digitally balanced in base 3, 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 (206665241) 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 23 ways as a sum of consecutive naturals, for example, 12913 + ... + 24084.

It is an arithmetic number, because the mean of its divisors is an integer number (10544430).

Almost surely, 2206665242 is an apocalyptic number.

206665242 is an abundant number, since it is smaller than the sum of its proper divisors (299467398).

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

206665242 is a wasteful number, since it uses less digits than its factorization.

206665242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37035 (or 37028 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 206665242 is about 14375.8562179788. The cubic root of 206665242 is about 591.2291163043.

The spelling of 206665242 in words is "two hundred six million, six hundred sixty-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 399 798 931 1862 2793 5586 36997 73994 110991 221982 258979 517958 702943 776937 1405886 1553874 1812853 2108829 3625706 4217658 4920601 5438559 9841202 10877118 14761803 29523606 34444207 68888414 103332621 206665242