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224140211137 is a prime number
BaseRepresentation
bin1101000010111111001…
…1000011001111000001
3210102112201100110201101
43100233303003033001
512133014343224022
6250545114334401
722123255234213
oct3205763031701
9712481313641
10224140211137
118706a340117
123753412a401
13181a069a98b
14abc41b85b3
155c6c90e627
hex342fcc33c1

224140211137 has 2 divisors, whose sum is σ = 224140211138. Its totient is φ = 224140211136.

The previous prime is 224140211101. The next prime is 224140211153. The reversal of 224140211137 is 731112041422.

224140211137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 124789801536 + 99350409601 = 353256^2 + 315199^2 .

It is a cyclic number.

It is not a de Polignac number, because 224140211137 - 215 = 224140178369 is a prime.

It is not a weakly prime, because it can be changed into another prime (224140211167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112070105568 + 112070105569.

It is an arithmetic number, because the mean of its divisors is an integer number (112070105569).

Almost surely, 2224140211137 is an apocalyptic number.

It is an amenable number.

224140211137 is a deficient number, since it is larger than the sum of its proper divisors (1).

224140211137 is an equidigital number, since it uses as much as digits as its factorization.

224140211137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 28.

Adding to 224140211137 its reverse (731112041422), we get a palindrome (955252252559).

The spelling of 224140211137 in words is "two hundred twenty-four billion, one hundred forty million, two hundred eleven thousand, one hundred thirty-seven".