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204115441 is a prime number
BaseRepresentation
bin11000010101010…
…00110111110001
3112020002010202011
430022220313301
5404223143231
632130522521
75025644515
oct1412506761
9466063664
10204115441
11a5243a52
1258436441
133339858a
141d174145
1512dbd9b1
hexc2a8df1

204115441 has 2 divisors, whose sum is σ = 204115442. Its totient is φ = 204115440.

The previous prime is 204115411. The next prime is 204115477. The reversal of 204115441 is 144511402.

204115441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 181037025 + 23078416 = 13455^2 + 4804^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-204115441 is a prime.

It is a super-3 number, since 3×2041154413 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (204115411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102057720 + 102057721.

It is an arithmetic number, because the mean of its divisors is an integer number (102057721).

Almost surely, 2204115441 is an apocalyptic number.

It is an amenable number.

204115441 is a deficient number, since it is larger than the sum of its proper divisors (1).

204115441 is an equidigital number, since it uses as much as digits as its factorization.

204115441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 204115441 is about 14286.8975288549. The cubic root of 204115441 is about 588.7875522648.

Adding to 204115441 its reverse (144511402), we get a palindrome (348626843).

It can be divided in two parts, 20411 and 5441, that added together give a palindrome (25852).

The spelling of 204115441 in words is "two hundred four million, one hundred fifteen thousand, four hundred forty-one".