Search a number
-
+
204137441 is a prime number
BaseRepresentation
bin11000010101011…
…10001111100001
3112020010020220222
430022232033201
5404224344231
632131212425
75026065614
oct1412561741
9466106828
10204137441
11a5259532
1258447115
13333a55b1
141d17c17b
1512dc527b
hexc2ae3e1

204137441 has 2 divisors, whose sum is σ = 204137442. Its totient is φ = 204137440.

The previous prime is 204137371. The next prime is 204137459. The reversal of 204137441 is 144731402.

204137441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106523041 + 97614400 = 10321^2 + 9880^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-204137441 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 204137441.

It is not a weakly prime, because it can be changed into another prime (204137491) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102068720 + 102068721.

It is an arithmetic number, because the mean of its divisors is an integer number (102068721).

Almost surely, 2204137441 is an apocalyptic number.

It is an amenable number.

204137441 is a deficient number, since it is larger than the sum of its proper divisors (1).

204137441 is an equidigital number, since it uses as much as digits as its factorization.

204137441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 204137441 is about 14287.6674443381. The cubic root of 204137441 is about 588.8087050999.

Adding to 204137441 its reverse (144731402), we get a palindrome (348868843).

The spelling of 204137441 in words is "two hundred four million, one hundred thirty-seven thousand, four hundred forty-one".