Search a number
-
+
22223040089 is a prime number
BaseRepresentation
bin10100101100100110…
…001010111001011001
32010100202120101221212
4110230212022321121
5331003044240324
614113100512505
71414464503225
oct245446127131
963322511855
1022223040089
119474365a38
12438254b735
132132115383
14110b63d785
158a0ed970e
hex52c98ae59

22223040089 has 2 divisors, whose sum is σ = 22223040090. Its totient is φ = 22223040088.

The previous prime is 22223040019. The next prime is 22223040121. The reversal of 22223040089 is 98004032222.

It is an a-pointer prime, because the next prime (22223040121) can be obtained adding 22223040089 to its sum of digits (32).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22024934464 + 198105625 = 148408^2 + 14075^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22223040089 is a prime.

It is a super-2 number, since 2×222230400892 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (22223040019) 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, 11111520044 + 11111520045.

It is an arithmetic number, because the mean of its divisors is an integer number (11111520045).

Almost surely, 222223040089 is an apocalyptic number.

It is an amenable number.

22223040089 is a deficient number, since it is larger than the sum of its proper divisors (1).

22223040089 is an equidigital number, since it uses as much as digits as its factorization.

22223040089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 22223040089 in words is "twenty-two billion, two hundred twenty-three million, forty thousand, eighty-nine".