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204312213 = 357217159
BaseRepresentation
bin11000010110110…
…00111010010101
3112020110010200000
430023120322111
5404300442323
632135041513
75030424300
oct1413307225
9466403600
10204312213
11a5368876
1258510299
1333437001
141d1c5b37
1512e0be43
hexc2d8e95

204312213 has 36 divisors (see below), whose sum is σ = 356035680. Its totient is φ = 116743032.

The previous prime is 204312209. The next prime is 204312217. The reversal of 204312213 is 312213402.

204312213 is a `hidden beast` number, since 20 + 431 + 2 + 213 = 666.

204312213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204312209) and next prime (204312217).

It is not a de Polignac number, because 204312213 - 22 = 204312209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204312217) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3328 + ... + 20486.

It is an arithmetic number, because the mean of its divisors is an integer number (9889880).

Almost surely, 2204312213 is an apocalyptic number.

It is an amenable number.

204312213 is a deficient number, since it is larger than the sum of its proper divisors (151723467).

204312213 is an equidigital number, since it uses as much as digits as its factorization.

204312213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17188 (or 17169 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 204312213 is about 14293.7823195962. The cubic root of 204312213 is about 588.9766930993.

Adding to 204312213 its reverse (312213402), we get a palindrome (516525615).

The spelling of 204312213 in words is "two hundred four million, three hundred twelve thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 1323 1701 3969 11907 17159 51477 120113 154431 360339 463293 840791 1081017 1389879 2522373 3243051 4169637 7567119 9729153 22701357 29187459 68104071 204312213