Search a number
-
+
223232220209 is a prime number
BaseRepresentation
bin1100111111100110101…
…1010101110000110001
3210100012102210202022202
43033321223111300301
512124134422021314
6250315041112545
722061621364305
oct3177153256061
9710172722282
10223232220209
1186743850099
1237320028755
131808753703b
14ab3977bd05
155c17d550de
hex33f9ad5c31

223232220209 has 2 divisors, whose sum is σ = 223232220210. Its totient is φ = 223232220208.

The previous prime is 223232220181. The next prime is 223232220251. The reversal of 223232220209 is 902022232322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 220787214400 + 2445005809 = 469880^2 + 49447^2 .

It is a cyclic number.

It is not a de Polignac number, because 223232220209 - 212 = 223232216113 is a prime.

It is a super-3 number, since 3×2232322202093 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (223232220709) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111616110104 + 111616110105.

It is an arithmetic number, because the mean of its divisors is an integer number (111616110105).

Almost surely, 2223232220209 is an apocalyptic number.

It is an amenable number.

223232220209 is a deficient number, since it is larger than the sum of its proper divisors (1).

223232220209 is an equidigital number, since it uses as much as digits as its factorization.

223232220209 is an evil number, because the sum of its binary digits is even.

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

The spelling of 223232220209 in words is "two hundred twenty-three billion, two hundred thirty-two million, two hundred twenty thousand, two hundred nine".