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214201809 = 321992601
BaseRepresentation
bin11001100010001…
…11010111010001
3112221001120122100
430301013113101
5414313424214
633131031013
75210454033
oct1461072721
9487046570
10214201809
11aaa02a98
125b89b469
13354ba543
142063bc53
1513c12309
hexcc475d1

214201809 has 18 divisors (see below), whose sum is σ = 311482626. Its totient is φ = 141847200.

The previous prime is 214201789. The next prime is 214201811. The reversal of 214201809 is 908102412.

214201809 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 205291584 + 8910225 = 14328^2 + 2985^2 .

It is not a de Polignac number, because 214201809 - 211 = 214199761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214201849) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 356109 + ... + 356709.

Almost surely, 2214201809 is an apocalyptic number.

It is an amenable number.

214201809 is a deficient number, since it is larger than the sum of its proper divisors (97280817).

214201809 is an equidigital number, since it uses as much as digits as its factorization.

214201809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 214201809 is about 14635.6349025247. The cubic root of 214201809 is about 598.3303665163.

The spelling of 214201809 in words is "two hundred fourteen million, two hundred one thousand, eight hundred nine".

Divisors: 1 3 9 199 597 601 1791 1803 5409 39601 118803 119599 356409 358797 1076391 23800201 71400603 214201809