Search a number
-
+
22048588801 is a prime number
BaseRepresentation
bin10100100010001100…
…101100010000000001
32002220121022100210001
4110202030230100001
5330123414320201
614043505440001
71410245625001
oct244214542001
962817270701
1022048588801
119394943118
124334040001
132104c34c65
1410d23cc001
15890a2a301
hex52232c401

22048588801 has 2 divisors, whose sum is σ = 22048588802. Its totient is φ = 22048588800.

The previous prime is 22048588789. The next prime is 22048588813. The reversal of 22048588801 is 10888584022.

It is a balanced prime because it is at equal distance from previous prime (22048588789) and next prime (22048588813).

It can be written as a sum of positive squares in only one way, i.e., 21958794225 + 89794576 = 148185^2 + 9476^2 .

It is a cyclic number.

It is not a de Polignac number, because 22048588801 - 27 = 22048588673 is a prime.

It is a super-2 number, since 2×220485888012 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (22048598801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11024294400 + 11024294401.

It is an arithmetic number, because the mean of its divisors is an integer number (11024294401).

Almost surely, 222048588801 is an apocalyptic number.

It is an amenable number.

22048588801 is a deficient number, since it is larger than the sum of its proper divisors (1).

22048588801 is an equidigital number, since it uses as much as digits as its factorization.

22048588801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 327680, while the sum is 46.

The spelling of 22048588801 in words is "twenty-two billion, forty-eight million, five hundred eighty-eight thousand, eight hundred one".