Search a number
-
+
204022314 = 236413413
BaseRepresentation
bin11000010100100…
…10001000101010
3112012220102000000
430022102020222
5404212203224
632124523430
75025106146
oct1412221052
9465812000
10204022314
11a518aa91
12583b0576
1333365082
141d14c226
1512da10c9
hexc29222a

204022314 has 56 divisors (see below), whose sum is σ = 470169252. Its totient is φ = 66329280.

The previous prime is 204022309. The next prime is 204022367. The reversal of 204022314 is 413220402.

It can be written as a sum of positive squares in 2 ways, for example, as 204004089 + 18225 = 14283^2 + 135^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 58072 + ... + 61484.

Almost surely, 2204022314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204022314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235084626).

204022314 is an abundant number, since it is smaller than the sum of its proper divisors (266146938).

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

204022314 is an equidigital number, since it uses as much as digits as its factorization.

204022314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3474 (or 3459 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 204022314 is about 14283.6379819708. The cubic root of 204022314 is about 588.6979945139.

Adding to 204022314 its reverse (413220402), we get a palindrome (617242716).

The spelling of 204022314 in words is "two hundred four million, twenty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 243 246 369 486 729 738 1107 1458 2214 3321 3413 6642 6826 9963 10239 19926 20478 29889 30717 59778 61434 92151 139933 184302 276453 279866 419799 552906 829359 839598 1259397 1658718 2488077 2518794 3778191 4976154 7556382 11334573 22669146 34003719 68007438 102011157 204022314