Search a number
-
+
217206066 = 237112320441
BaseRepresentation
bin11001111001001…
…00110100110010
3120010201012201010
430330210310302
5421101043231
633315251350
75245135560
oct1474446462
9503635633
10217206066
11101675150
12608a9b56
1335cccacc
1420bc0a30
1514107546
hexcf24d32

217206066 has 64 divisors (see below), whose sum is σ = 565180416. Its totient is φ = 53961600.

The previous prime is 217206019. The next prime is 217206071. The reversal of 217206066 is 660602712.

217206066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 406 + ... + 20846.

It is an arithmetic number, because the mean of its divisors is an integer number (8830944).

Almost surely, 2217206066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217206066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282590208).

217206066 is an abundant number, since it is smaller than the sum of its proper divisors (347974350).

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

217206066 is a wasteful number, since it uses less digits than its factorization.

217206066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20487.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 217206066 is about 14737.9125387553. The cubic root of 217206066 is about 601.1146557331.

Adding to 217206066 its reverse (660602712), we get a palindrome (877808778).

The spelling of 217206066 in words is "two hundred seventeen million, two hundred six thousand, sixty-six".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 66 69 77 138 154 161 231 253 322 462 483 506 759 966 1518 1771 3542 5313 10626 20441 40882 61323 122646 143087 224851 286174 429261 449702 470143 674553 858522 940286 1349106 1410429 1573957 2820858 3147914 3291001 4721871 5171573 6582002 9443742 9873003 10343146 15514719 19746006 31029438 36201011 72402022 108603033 217206066