Search a number
-
+
202224161 is a prime number
BaseRepresentation
bin11000000110110…
…11001000100001
3112002112001101202
430003123020201
5403232133121
632022210545
75003606546
oct1403331041
9462461352
10202224161
11a4172007
1257883a55
1332b85789
141cc00bcd
1512b4840b
hexc0db221

202224161 has 2 divisors, whose sum is σ = 202224162. Its totient is φ = 202224160.

The previous prime is 202224133. The next prime is 202224199. The reversal of 202224161 is 161422202.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 187169761 + 15054400 = 13681^2 + 3880^2 .

It is a cyclic number.

It is not a de Polignac number, because 202224161 - 218 = 201962017 is a prime.

It is a super-2 number, since 2×2022241612 = 81789222584307842, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (202224101) 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, 101112080 + 101112081.

It is an arithmetic number, because the mean of its divisors is an integer number (101112081).

Almost surely, 2202224161 is an apocalyptic number.

It is an amenable number.

202224161 is a deficient number, since it is larger than the sum of its proper divisors (1).

202224161 is an equidigital number, since it uses as much as digits as its factorization.

202224161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 202224161 is about 14220.5541734491. The cubic root of 202224161 is about 586.9633896643.

Adding to 202224161 its reverse (161422202), we get a palindrome (363646363).

The spelling of 202224161 in words is "two hundred two million, two hundred twenty-four thousand, one hundred sixty-one".