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206254217 = 13175317609
BaseRepresentation
bin11000100101100…
…11000010001001
3112101002210121002
430102303002021
5410300113332
632244424345
75053063151
oct1422630211
9471083532
10206254217
11a6474934
12590a80b5
1333966c20
141d56d761
1513192562
hexc4b3089

206254217 has 16 divisors (see below), whose sum is σ = 239636880. Its totient is φ = 175798272.

The previous prime is 206254211. The next prime is 206254229. The reversal of 206254217 is 712452602.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7557001 + 198697216 = 2749^2 + 14096^2 .

It is not a de Polignac number, because 206254217 - 226 = 139145353 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 206254217.

It is not an unprimeable number, because it can be changed into a prime (206254211) 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, 2909 + ... + 20517.

It is an arithmetic number, because the mean of its divisors is an integer number (14977305).

Almost surely, 2206254217 is an apocalyptic number.

It is an amenable number.

206254217 is a deficient number, since it is larger than the sum of its proper divisors (33382663).

206254217 is a wasteful number, since it uses less digits than its factorization.

206254217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17692.

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 206254217 is about 14361.5534326897. The cubic root of 206254217 is about 590.8369019412.

It can be divided in two parts, 20625 and 4217, that added together give a palindrome (24842).

The spelling of 206254217 in words is "two hundred six million, two hundred fifty-four thousand, two hundred seventeen".

Divisors: 1 13 17 53 221 689 901 11713 17609 228917 299353 933277 3891589 12132601 15865709 206254217