Search a number
-
+
204400541 is a prime number
BaseRepresentation
bin11000010111011…
…10011110011101
3112020121121211102
430023232132131
5404311304131
632141002445
75031242642
oct1413563635
9466547742
10204400541
11a5419174
1258553425
1333468287
141d209dc9
1512e281cb
hexc2ee79d

204400541 has 2 divisors, whose sum is σ = 204400542. Its totient is φ = 204400540.

The previous prime is 204400529. The next prime is 204400579. The reversal of 204400541 is 145004402.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 202948516 + 1452025 = 14246^2 + 1205^2 .

It is a cyclic number.

It is not a de Polignac number, because 204400541 - 26 = 204400477 is a prime.

It is a super-2 number, since 2×2044005412 = 83559162322185362, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p11309024 and since 204400541 and 11309024 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (204400501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102200270 + 102200271.

It is an arithmetic number, because the mean of its divisors is an integer number (102200271).

Almost surely, 2204400541 is an apocalyptic number.

It is an amenable number.

204400541 is a deficient number, since it is larger than the sum of its proper divisors (1).

204400541 is an equidigital number, since it uses as much as digits as its factorization.

204400541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 204400541 is about 14296.8717207647. The cubic root of 204400541 is about 589.0615560933.

Adding to 204400541 its reverse (145004402), we get a palindrome (349404943).

The spelling of 204400541 in words is "two hundred four million, four hundred thousand, five hundred forty-one".