Search a number
-
+
224354306456201 is a prime number
BaseRepresentation
bin110011000000110010001110…
…101111010111101010001001
31002102101001200100220002212002
4303000302032233113222021
5213401310104423044301
62113054540122400345
765154030601463645
oct6300621657275211
91072331610802762
10224354306456201
11655391440a9609
12211b544b3600b5
13982569c1a999c
143d58b4097bc25
151ae0e8504116b
hexcc0c8ebd7a89

224354306456201 has 2 divisors, whose sum is σ = 224354306456202. Its totient is φ = 224354306456200.

The previous prime is 224354306456191. The next prime is 224354306456233. The reversal of 224354306456201 is 102654603453422.

224354306456201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 190791344300176 + 33562962156025 = 13812724^2 + 5793355^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-224354306456201 is a prime.

It is a super-2 number, since 2×2243543064562012 (a number of 30 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 (224354306456261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112177153228100 + 112177153228101.

It is an arithmetic number, because the mean of its divisors is an integer number (112177153228101).

Almost surely, 2224354306456201 is an apocalyptic number.

It is an amenable number.

224354306456201 is a deficient number, since it is larger than the sum of its proper divisors (1).

224354306456201 is an equidigital number, since it uses as much as digits as its factorization.

224354306456201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4147200, while the sum is 47.

The spelling of 224354306456201 in words is "two hundred twenty-four trillion, three hundred fifty-four billion, three hundred six million, four hundred fifty-six thousand, two hundred one".