Search a number
-
+
222023000102789 is a prime number
BaseRepresentation
bin110010011110110111000010…
…000011011001011110000101
31002010010012011121200200210002
4302132313002003121132011
5213100111101011242124
62104111542544411045
764523426626442654
oct6236670203313605
91063105147620702
10222023000102789
116481a475480886
1220a99665616a85
1396b68a9c00b52
143cb7d8324919b
151aa04db2330ae
hexc9edc20d9785

222023000102789 has 2 divisors, whose sum is σ = 222023000102790. Its totient is φ = 222023000102788.

The previous prime is 222023000102731. The next prime is 222023000102797. The reversal of 222023000102789 is 987201000320222.

222023000102789 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 188650911750625 + 33372088352164 = 13735025^2 + 5776858^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222023000102789 is a prime.

It is a super-3 number, since 3×2220230001027893 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222023800102789) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111011500051394 + 111011500051395.

It is an arithmetic number, because the mean of its divisors is an integer number (111011500051395).

Almost surely, 2222023000102789 is an apocalyptic number.

It is an amenable number.

222023000102789 is a deficient number, since it is larger than the sum of its proper divisors (1).

222023000102789 is an equidigital number, since it uses as much as digits as its factorization.

222023000102789 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 222023000102789 in words is "two hundred twenty-two trillion, twenty-three billion, one hundred two thousand, seven hundred eighty-nine".