Search a number
-
+
223111253 is a prime number
BaseRepresentation
bin11010100110001…
…10100001010101
3120112211020002202
431103012201111
5424104030003
634050014245
75346262061
oct1523064125
9515736082
10223111253
11104a38872
1262877385
13372b98c1
14218baaa1
15148c2088
hexd4c6855

223111253 has 2 divisors, whose sum is σ = 223111254. Its totient is φ = 223111252.

The previous prime is 223111249. The next prime is 223111261. The reversal of 223111253 is 352111322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 155575729 + 67535524 = 12473^2 + 8218^2 .

It is a cyclic number.

It is not a de Polignac number, because 223111253 - 22 = 223111249 is a prime.

It is a super-3 number, since 3×2231112533 (a number of 26 digits) contains 333 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223111283) 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, 111555626 + 111555627.

It is an arithmetic number, because the mean of its divisors is an integer number (111555627).

Almost surely, 2223111253 is an apocalyptic number.

It is an amenable number.

223111253 is a deficient number, since it is larger than the sum of its proper divisors (1).

223111253 is an equidigital number, since it uses as much as digits as its factorization.

223111253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 360, while the sum is 20.

The square root of 223111253 is about 14936.9090845462. The cubic root of 223111253 is about 606.5135275761.

Adding to 223111253 its reverse (352111322), we get a palindrome (575222575).

The spelling of 223111253 in words is "two hundred twenty-three million, one hundred eleven thousand, two hundred fifty-three".