Search a number
-
+
223319032309 is a prime number
BaseRepresentation
bin1100111111111011011…
…0100000000111110101
3210100102111011021010201
43033332312200013311
512124324133013214
6250331421520501
722064024311642
oct3177666400765
9710374137121
10223319032309
118678885432a
1237345113131
131809c510c49
14ab470d8dc9
155c207a2274
hex33feda01f5

223319032309 has 2 divisors, whose sum is σ = 223319032310. Its totient is φ = 223319032308.

The previous prime is 223319032303. The next prime is 223319032337. The reversal of 223319032309 is 903230913322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116588102500 + 106730929809 = 341450^2 + 326697^2 .

It is a cyclic number.

It is not a de Polignac number, because 223319032309 - 211 = 223319030261 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223319032303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111659516154 + 111659516155.

It is an arithmetic number, because the mean of its divisors is an integer number (111659516155).

Almost surely, 2223319032309 is an apocalyptic number.

It is an amenable number.

223319032309 is a deficient number, since it is larger than the sum of its proper divisors (1).

223319032309 is an equidigital number, since it uses as much as digits as its factorization.

223319032309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52488, while the sum is 37.

It can be divided in two parts, 22331 and 9032309, that added together give a triangular number (9054640 = T4255).

The spelling of 223319032309 in words is "two hundred twenty-three billion, three hundred nineteen million, thirty-two thousand, three hundred nine".