Search a number
-
+
222000202033 is a prime number
BaseRepresentation
bin1100111011000000111…
…1100100000100110001
3210020000120112202002221
43032300033210010301
512114124022431113
6245552510441041
722016241403501
oct3166017440461
9706016482087
10222000202033
1186171365655
1237037503181
1317c1c2120bc
14aa5dcb5a01
155b94ae298d
hex33b03e4131

222000202033 has 2 divisors, whose sum is σ = 222000202034. Its totient is φ = 222000202032.

The previous prime is 222000202013. The next prime is 222000202079. The reversal of 222000202033 is 330202000222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 207892226304 + 14107975729 = 455952^2 + 118777^2 .

It is a cyclic number.

It is not a de Polignac number, because 222000202033 - 213 = 222000193841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 222000201998 and 222000202016.

It is not a weakly prime, because it can be changed into another prime (222000202003) 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, 111000101016 + 111000101017.

It is an arithmetic number, because the mean of its divisors is an integer number (111000101017).

Almost surely, 2222000202033 is an apocalyptic number.

It is an amenable number.

222000202033 is a deficient number, since it is larger than the sum of its proper divisors (1).

222000202033 is an equidigital number, since it uses as much as digits as its factorization.

222000202033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 222000202033 its reverse (330202000222), we get a palindrome (552202202255).

The spelling of 222000202033 in words is "two hundred twenty-two billion, two hundred two thousand, thirty-three".