Search a number
-
+
225741914129 is a prime number
BaseRepresentation
bin1101001000111101000…
…1000100000000010001
3210120200100020102011102
43102033101010000101
512144304412223004
6251412052354145
722211044416224
oct3221721040021
9716610212142
10225741914129
11878114752a6
1237900615955
131839747b924
14acd6bd35bb
155d1334811e
hex348f444011

225741914129 has 2 divisors, whose sum is σ = 225741914130. Its totient is φ = 225741914128.

The previous prime is 225741914093. The next prime is 225741914183. The reversal of 225741914129 is 921419147522.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 149264777104 + 76477137025 = 386348^2 + 276545^2 .

It is a cyclic number.

It is not a de Polignac number, because 225741914129 - 228 = 225473478673 is a prime.

It is not a weakly prime, because it can be changed into another prime (225741914729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112870957064 + 112870957065.

It is an arithmetic number, because the mean of its divisors is an integer number (112870957065).

Almost surely, 2225741914129 is an apocalyptic number.

It is an amenable number.

225741914129 is a deficient number, since it is larger than the sum of its proper divisors (1).

225741914129 is an equidigital number, since it uses as much as digits as its factorization.

225741914129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 362880, while the sum is 47.

The spelling of 225741914129 in words is "two hundred twenty-five billion, seven hundred forty-one million, nine hundred fourteen thousand, one hundred twenty-nine".