Search a number
-
+
220541381 is a prime number
BaseRepresentation
bin11010010010100…
…11000111000101
3120100222122220022
431021103013011
5422424311011
633514544525
75315366534
oct1511230705
9510878808
10220541381
11103543005
1261a38145
13368c9c78
142140c31b
15145658db
hexd2531c5

220541381 has 2 divisors, whose sum is σ = 220541382. Its totient is φ = 220541380.

The previous prime is 220541353. The next prime is 220541467. The reversal of 220541381 is 183145022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 191822500 + 28718881 = 13850^2 + 5359^2 .

It is a cyclic number.

It is not a de Polignac number, because 220541381 - 218 = 220279237 is a prime.

It is a super-2 number, since 2×2205413812 = 97277001466774322, which contains 22 as substring.

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 220541381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220541311) 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, 110270690 + 110270691.

It is an arithmetic number, because the mean of its divisors is an integer number (110270691).

Almost surely, 2220541381 is an apocalyptic number.

It is an amenable number.

220541381 is a deficient number, since it is larger than the sum of its proper divisors (1).

220541381 is an equidigital number, since it uses as much as digits as its factorization.

220541381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 220541381 is about 14850.6357102987. The cubic root of 220541381 is about 604.1758520828.

The spelling of 220541381 in words is "two hundred twenty million, five hundred forty-one thousand, three hundred eighty-one".