Search a number
-
+
363065221 is a prime number
BaseRepresentation
bin10101101000111…
…110111110000101
3221022011121212001
4111220332332011
51220421041341
6100005425301
711666001121
oct2550767605
9838147761
10363065221
11176a39302
12a170b231
135a2abcbc
143630c581
1521d19d31
hex15a3ef85

363065221 has 2 divisors, whose sum is σ = 363065222. Its totient is φ = 363065220.

The previous prime is 363065203. The next prime is 363065249. The reversal of 363065221 is 122560363.

It is an a-pointer prime, because the next prime (363065249) can be obtained adding 363065221 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 306740196 + 56325025 = 17514^2 + 7505^2 .

It is a cyclic number.

It is not a de Polignac number, because 363065221 - 27 = 363065093 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 363065221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (363065921) 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, 181532610 + 181532611.

It is an arithmetic number, because the mean of its divisors is an integer number (181532611).

Almost surely, 2363065221 is an apocalyptic number.

It is an amenable number.

363065221 is a deficient number, since it is larger than the sum of its proper divisors (1).

363065221 is an equidigital number, since it uses as much as digits as its factorization.

363065221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 363065221 is about 19054.2704137419. The cubic root of 363065221 is about 713.3919694184.

The spelling of 363065221 in words is "three hundred sixty-three million, sixty-five thousand, two hundred twenty-one".