Search a number
-
+
204023216 = 24194116369
BaseRepresentation
bin11000010100100…
…10010110110000
3112012220110020102
430022102112300
5404212220331
632124531532
75025111605
oct1412222660
9465813212
10204023216
11a5190731
12583b0ba8
13333655c7
141d14c6ac
1512da14cb
hexc2925b0

204023216 has 40 divisors (see below), whose sum is σ = 426274800. Its totient is φ = 94279680.

The previous prime is 204023201. The next prime is 204023219. The reversal of 204023216 is 612320402.

204023216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (204023219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4280 + ... + 20648.

It is an arithmetic number, because the mean of its divisors is an integer number (10656870).

Almost surely, 2204023216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204023216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213137400).

204023216 is an abundant number, since it is smaller than the sum of its proper divisors (222251584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

204023216 is a wasteful number, since it uses less digits than its factorization.

204023216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16437 (or 16431 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 204023216 is about 14283.6695565250. The cubic root of 204023216 is about 588.6988620739.

Adding to 204023216 its reverse (612320402), we get a palindrome (816343618).

The spelling of 204023216 in words is "two hundred four million, twenty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 19 38 41 76 82 152 164 304 328 656 779 1558 3116 6232 12464 16369 32738 65476 130952 261904 311011 622022 671129 1244044 1342258 2488088 2684516 4976176 5369032 10738064 12751451 25502902 51005804 102011608 204023216