Search a number
-
+
22122220033 is a prime number
BaseRepresentation
bin10100100110100101…
…100100101000000001
32010002201212012211201
4110212211210220001
5330301242020113
614055055541201
71412131524214
oct244645445001
963081765751
1022122220033
119422464381
12435482a801
132117275534
1410dc0b777b
15897221cdd
hex526964a01

22122220033 has 2 divisors, whose sum is σ = 22122220034. Its totient is φ = 22122220032.

The previous prime is 22122220027. The next prime is 22122220121. The reversal of 22122220033 is 33002222122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20457008784 + 1665211249 = 143028^2 + 40807^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22122220033 is a prime.

It is not a weakly prime, because it can be changed into another prime (22122220633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11061110016 + 11061110017.

It is an arithmetic number, because the mean of its divisors is an integer number (11061110017).

Almost surely, 222122220033 is an apocalyptic number.

It is an amenable number.

22122220033 is a deficient number, since it is larger than the sum of its proper divisors (1).

22122220033 is an equidigital number, since it uses as much as digits as its factorization.

22122220033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 22122220033 its reverse (33002222122), we get a palindrome (55124442155).

The spelling of 22122220033 in words is "twenty-two billion, one hundred twenty-two million, two hundred twenty thousand, thirty-three".