Search a number
-
+
22422240444209 is a prime number
BaseRepresentation
bin1010001100100100101011…
…01011010011111100110001
32221101112201111012100112112
411012102111223103330301
510414331222023203314
6115404345101135105
74502645010052124
oct506222553237461
987345644170475
1022422240444209
117165245203121
1226216b6b5a495
13c6853ca834a8
145773569603bb
1528d3c203343e
hex146495ad3f31

22422240444209 has 2 divisors, whose sum is σ = 22422240444210. Its totient is φ = 22422240444208.

The previous prime is 22422240444161. The next prime is 22422240444211. The reversal of 22422240444209 is 90244404222422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22372218885184 + 50021559025 = 4729928^2 + 223655^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22422240444209 is a prime.

Together with 22422240444211, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (22422240444809) 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, 11211120222104 + 11211120222105.

It is an arithmetic number, because the mean of its divisors is an integer number (11211120222105).

Almost surely, 222422240444209 is an apocalyptic number.

It is an amenable number.

22422240444209 is a deficient number, since it is larger than the sum of its proper divisors (1).

22422240444209 is an equidigital number, since it uses as much as digits as its factorization.

22422240444209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 589824, while the sum is 41.

The spelling of 22422240444209 in words is "twenty-two trillion, four hundred twenty-two billion, two hundred forty million, four hundred forty-four thousand, two hundred nine".