Search a number
-
+
204224129 is a prime number
BaseRepresentation
bin11000010110000…
…11011010000001
3112020021122211122
430023003122001
5404240133004
632133122025
75026606424
oct1413033201
9466248748
10204224129
11a530867a
1258489315
1333405ba5
141d1a19bb
1512de0cbe
hexc2c3681

204224129 has 2 divisors, whose sum is σ = 204224130. Its totient is φ = 204224128.

The previous prime is 204224101. The next prime is 204224149. The reversal of 204224129 is 921422402.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 174847729 + 29376400 = 13223^2 + 5420^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-204224129 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 204224098 and 204224107.

It is not a weakly prime, because it can be changed into another prime (204224149) 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 as a sum of consecutive naturals, namely, 102112064 + 102112065.

It is an arithmetic number, because the mean of its divisors is an integer number (102112065).

Almost surely, 2204224129 is an apocalyptic number.

It is an amenable number.

204224129 is a deficient number, since it is larger than the sum of its proper divisors (1).

204224129 is an equidigital number, since it uses as much as digits as its factorization.

204224129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 204224129 is about 14290.7007875751. The cubic root of 204224129 is about 588.8920401727.

The spelling of 204224129 in words is "two hundred four million, two hundred twenty-four thousand, one hundred twenty-nine".