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20214585 = 3252319531
BaseRepresentation
bin100110100011…
…1001100111001
31102001000012100
41031013030321
520133331320
62001134013
7333551436
oct115071471
942030170
1020214585
1110457576
12692a309
134259cc1
142982b8d
151b94790
hex1347339

20214585 has 24 divisors (see below), whose sum is σ = 36563904. Its totient is φ = 10311840.

The previous prime is 20214569. The next prime is 20214587. The reversal of 20214585 is 58541202.

It is a happy number.

20214585 is a `hidden beast` number, since 202 + 1 + 458 + 5 = 666.

It is not a de Polignac number, because 20214585 - 24 = 20214569 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20214587) 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, 8731 + ... + 10800.

It is an arithmetic number, because the mean of its divisors is an integer number (1523496).

Almost surely, 220214585 is an apocalyptic number.

It is an amenable number.

20214585 is a deficient number, since it is larger than the sum of its proper divisors (16349319).

20214585 is a wasteful number, since it uses less digits than its factorization.

20214585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19565 (or 19562 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 20214585 is about 4496.0632780245. The cubic root of 20214585 is about 272.4090991029.

Adding to 20214585 its reverse (58541202), we get a palindrome (78755787).

The spelling of 20214585 in words is "twenty million, two hundred fourteen thousand, five hundred eighty-five".

Divisors: 1 3 5 9 15 23 45 69 115 207 345 1035 19531 58593 97655 175779 292965 449213 878895 1347639 2246065 4042917 6738195 20214585