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214104009 = 3741435783
BaseRepresentation
bin11001100001011…
…11011111001001
3112220212121111010
430300233133021
5414302312014
633124554133
75206565640
oct1460573711
9486777433
10214104009
11aa946569
125b852949
1335484b82
1420614357
1513be3359
hexcc2f7c9

214104009 has 32 divisors (see below), whose sum is σ = 342042624. Its totient is φ = 116565120.

The previous prime is 214103999. The next prime is 214104017. The reversal of 214104009 is 900401412.

It is not a de Polignac number, because 214104009 - 27 = 214103881 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (214104049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34132 + ... + 39914.

It is an arithmetic number, because the mean of its divisors is an integer number (10688832).

Almost surely, 2214104009 is an apocalyptic number.

It is an amenable number.

214104009 is a deficient number, since it is larger than the sum of its proper divisors (127938615).

214104009 is a wasteful number, since it uses less digits than its factorization.

214104009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5877.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 214104009 is about 14632.2933609192. The cubic root of 214104009 is about 598.2392910049.

The spelling of 214104009 in words is "two hundred fourteen million, one hundred four thousand, nine".

Divisors: 1 3 7 21 41 43 123 129 287 301 861 903 1763 5289 5783 12341 17349 37023 40481 121443 237103 248669 711309 746007 1659721 1740683 4979163 5222049 10195429 30586287 71368003 214104009