Search a number
-
+
224123381 is a prime number
BaseRepresentation
bin11010101101111…
…01100111110101
3120121201122110222
431112331213311
5424333422011
634123424125
75361005636
oct1526754765
9517648428
10224123381
1110556a239
1263085045
13375824b1
1421aa188d
1514a21ddb
hexd5bd9f5

224123381 has 2 divisors, whose sum is σ = 224123382. Its totient is φ = 224123380.

The previous prime is 224123329. The next prime is 224123407. The reversal of 224123381 is 183321422.

It is an a-pointer prime, because the next prime (224123407) can be obtained adding 224123381 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 223054225 + 1069156 = 14935^2 + 1034^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-224123381 is a prime.

It is a super-2 number, since 2×2241233812 = 100462579821742322, which contains 22 as substring.

It is a Chen prime.

It is equal to p12337244 and since 224123381 and 12337244 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 224123381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (224123321) 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, 112061690 + 112061691.

It is an arithmetic number, because the mean of its divisors is an integer number (112061691).

Almost surely, 2224123381 is an apocalyptic number.

It is an amenable number.

224123381 is a deficient number, since it is larger than the sum of its proper divisors (1).

224123381 is an equidigital number, since it uses as much as digits as its factorization.

224123381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2304, while the sum is 26.

The square root of 224123381 is about 14970.7508495733. The cubic root of 224123381 is about 607.4292790825.

The spelling of 224123381 in words is "two hundred twenty-four million, one hundred twenty-three thousand, three hundred eighty-one".