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214389 = 3274183
BaseRepresentation
bin110100010101110101
3101220002100
4310111311
523330024
64332313
71552020
oct642565
9356070
10214389
1113708a
12a4099
1376776
14581b7
15437c9
hex34575

214389 has 24 divisors (see below), whose sum is σ = 366912. Its totient is φ = 118080.

The previous prime is 214381. The next prime is 214391. The reversal of 214389 is 983412.

It is not a de Polignac number, because 214389 - 23 = 214381 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 214389.

It is not an unprimeable number, because it can be changed into a prime (214381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2542 + ... + 2624.

It is an arithmetic number, because the mean of its divisors is an integer number (15288).

2214389 is an apocalyptic number.

It is an amenable number.

214389 is a deficient number, since it is larger than the sum of its proper divisors (152523).

214389 is a wasteful number, since it uses less digits than its factorization.

214389 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 134 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 214389 is about 463.0215977684. The cubic root of 214389 is about 59.8504609441.

Multiplying 214389 by its sum of digits (27), we get a triangular number (5788503 = T3402).

The spelling of 214389 in words is "two hundred fourteen thousand, three hundred eighty-nine".

Divisors: 1 3 7 9 21 41 63 83 123 249 287 369 581 747 861 1743 2583 3403 5229 10209 23821 30627 71463 214389