Search a number
-
+
223432000409 is a prime number
BaseRepresentation
bin1101000000010110010…
…1011100001110011001
3210100201100201122020102
43100011211130032121
512130042043003114
6250350535105145
722066565445002
oct3200545341631
9710640648212
10223432000409
11868365a29a2
1237376b121b5
13180b9a45287
14ab581041a9
155c2a6692de
hex340595c399

223432000409 has 2 divisors, whose sum is σ = 223432000410. Its totient is φ = 223432000408.

The previous prime is 223432000349. The next prime is 223432000457. The reversal of 223432000409 is 904000234322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 159424518400 + 64007482009 = 399280^2 + 252997^2 .

It is a cyclic number.

It is not a de Polignac number, because 223432000409 - 232 = 219137033113 is a prime.

It is not a weakly prime, because it can be changed into another prime (223432000499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111716000204 + 111716000205.

It is an arithmetic number, because the mean of its divisors is an integer number (111716000205).

Almost surely, 2223432000409 is an apocalyptic number.

It is an amenable number.

223432000409 is a deficient number, since it is larger than the sum of its proper divisors (1).

223432000409 is an equidigital number, since it uses as much as digits as its factorization.

223432000409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 29.

The spelling of 223432000409 in words is "two hundred twenty-three billion, four hundred thirty-two million, four hundred nine", and thus it is an aban number.