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225724013989 is a prime number
BaseRepresentation
bin1101001000111000110…
…0110001110110100101
3210120122002112222210021
43102032030301312211
512144240321421424
6251410212555141
722210436314225
oct3221614616645
9716562488707
10225724013989
11878023596a1
12378b6622ab1
1318393852226
14acd4694085
155d119ae4e4
hex348e331da5

225724013989 has 2 divisors, whose sum is σ = 225724013990. Its totient is φ = 225724013988.

The previous prime is 225724013951. The next prime is 225724014023. The reversal of 225724013989 is 989310427522.

It is a happy number.

225724013989 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., 225615500100 + 108513889 = 474990^2 + 10417^2 .

It is a cyclic number.

It is not a de Polignac number, because 225724013989 - 29 = 225724013477 is a prime.

It is a super-3 number, since 3×2257240139893 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225724013089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112862006994 + 112862006995.

It is an arithmetic number, because the mean of its divisors is an integer number (112862006995).

Almost surely, 2225724013989 is an apocalyptic number.

It is an amenable number.

225724013989 is a deficient number, since it is larger than the sum of its proper divisors (1).

225724013989 is an equidigital number, since it uses as much as digits as its factorization.

225724013989 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 225724013989 in words is "two hundred twenty-five billion, seven hundred twenty-four million, thirteen thousand, nine hundred eighty-nine".