Search a number
-
+
22038352241 is a prime number
BaseRepresentation
bin10100100001100101…
…101001000101110001
32002212220001021212012
4110201211221011301
5330113304232431
614042502212305
71410062621543
oct244145510561
962786037765
1022038352241
11938a091254
124330724095
132102a8c819
1410d0cc5693
1588eba722b
hex521969171

22038352241 has 2 divisors, whose sum is σ = 22038352242. Its totient is φ = 22038352240.

The previous prime is 22038352201. The next prime is 22038352253. The reversal of 22038352241 is 14225383022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21178689841 + 859662400 = 145529^2 + 29320^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22038352241 is a prime.

It is a super-3 number, since 3×220383522413 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22038352198 and 22038352207.

It is not a weakly prime, because it can be changed into another prime (22038352201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11019176120 + 11019176121.

It is an arithmetic number, because the mean of its divisors is an integer number (11019176121).

Almost surely, 222038352241 is an apocalyptic number.

It is an amenable number.

22038352241 is a deficient number, since it is larger than the sum of its proper divisors (1).

22038352241 is an equidigital number, since it uses as much as digits as its factorization.

22038352241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 22038352241 in words is "twenty-two billion, thirty-eight million, three hundred fifty-two thousand, two hundred forty-one".