Search a number
-
+
202222313 is a prime number
BaseRepresentation
bin11000000110110…
…10101011101001
3112002111221212022
430003122223221
5403232103223
632022154225
75003601266
oct1403325351
9462457768
10202222313
11a4170687
1257882975
1332b84997
141cc0026d
1512b47ac8
hexc0daae9

202222313 has 2 divisors, whose sum is σ = 202222314. Its totient is φ = 202222312.

The previous prime is 202222309. The next prime is 202222333. The reversal of 202222313 is 313222202.

202222313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 185313769 + 16908544 = 13613^2 + 4112^2 .

It is a cyclic number.

It is not a de Polignac number, because 202222313 - 22 = 202222309 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 202222291 and 202222300.

It is not a weakly prime, because it can be changed into another prime (202222303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101111156 + 101111157.

It is an arithmetic number, because the mean of its divisors is an integer number (101111157).

Almost surely, 2202222313 is an apocalyptic number.

It is an amenable number.

202222313 is a deficient number, since it is larger than the sum of its proper divisors (1).

202222313 is an equidigital number, since it uses as much as digits as its factorization.

202222313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 202222313 is about 14220.4891969299. The cubic root of 202222313 is about 586.9616016952.

Adding to 202222313 its reverse (313222202), we get a palindrome (515444515).

The spelling of 202222313 in words is "two hundred two million, two hundred twenty-two thousand, three hundred thirteen".