Search a number
-
+
223441152769 is a prime number
BaseRepresentation
bin1101000000011000100…
…0010110101100000001
3210100201222221121220201
43100012020112230001
512130101413342034
6250351503205201
722100036314162
oct3200610265401
9710658847821
10223441152769
118684078422a
1237379ba6801
13180bb8cb083
14ab59407769
155c2b376014
hex3406216b01

223441152769 has 2 divisors, whose sum is σ = 223441152770. Its totient is φ = 223441152768.

The previous prime is 223441152709. The next prime is 223441152827. The reversal of 223441152769 is 967251144322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 206152321600 + 17288831169 = 454040^2 + 131487^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223441152769 is a prime.

It is a super-2 number, since 2×2234411527692 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (223441152709) 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, 111720576384 + 111720576385.

It is an arithmetic number, because the mean of its divisors is an integer number (111720576385).

Almost surely, 2223441152769 is an apocalyptic number.

It is an amenable number.

223441152769 is a deficient number, since it is larger than the sum of its proper divisors (1).

223441152769 is an equidigital number, since it uses as much as digits as its factorization.

223441152769 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 725760, while the sum is 46.

The spelling of 223441152769 in words is "two hundred twenty-three billion, four hundred forty-one million, one hundred fifty-two thousand, seven hundred sixty-nine".