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2220222021233 is a prime number
BaseRepresentation
bin100000010011101111100…
…010110111111001110001
321212020210002102122120212
4200103233202313321301
5242334003314134413
64415542251113505
7316256112541136
oct40235742677161
97766702378525
102220222021233
117866554a4927
122ba363a42895
1313149b255888
147966052c58d
153cb46926ca8
hex204ef8b7e71

2220222021233 has 2 divisors, whose sum is σ = 2220222021234. Its totient is φ = 2220222021232.

The previous prime is 2220222021217. The next prime is 2220222021253. The reversal of 2220222021233 is 3321202220222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2203288985104 + 16933036129 = 1484348^2 + 130127^2 .

It is a cyclic number.

It is not a de Polignac number, because 2220222021233 - 24 = 2220222021217 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2220222021199 and 2220222021208.

It is not a weakly prime, because it can be changed into another prime (2220222021253) 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, 1110111010616 + 1110111010617.

It is an arithmetic number, because the mean of its divisors is an integer number (1110111010617).

Almost surely, 22220222021233 is an apocalyptic number.

It is an amenable number.

2220222021233 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220222021233 is an equidigital number, since it uses as much as digits as its factorization.

2220222021233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 2220222021233 its reverse (3321202220222), we get a palindrome (5541424241455).

The spelling of 2220222021233 in words is "two trillion, two hundred twenty billion, two hundred twenty-two million, twenty-one thousand, two hundred thirty-three".