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214081 = 7217257
BaseRepresentation
bin110100010001000001
3101212122221
4310101001
523322311
64331041
71551100
oct642101
9355587
10214081
1113692a
12a3a81
137659a
1458037
1543671
hex34441

214081 has 12 divisors (see below), whose sum is σ = 264708. Its totient is φ = 172032.

The previous prime is 214069. The next prime is 214087. The reversal of 214081 is 180412.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 194481 + 19600 = 441^2 + 140^2 .

It is not a de Polignac number, because 214081 - 27 = 213953 is a prime.

It is a super-2 number, since 2×2140812 = 91661349122, which contains 22 as substring.

It is a Duffinian number.

214081 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (214087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 705 + ... + 961.

It is an arithmetic number, because the mean of its divisors is an integer number (22059).

2214081 is an apocalyptic number.

It is an amenable number.

214081 is a deficient number, since it is larger than the sum of its proper divisors (50627).

214081 is a wasteful number, since it uses less digits than its factorization.

214081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 214081 is about 462.6888803505. The cubic root of 214081 is about 59.8217860017.

Adding to 214081 its reverse (180412), we get a palindrome (394493).

The spelling of 214081 in words is "two hundred fourteen thousand, eighty-one".

Divisors: 1 7 17 49 119 257 833 1799 4369 12593 30583 214081