Search a number
-
+
224136826561 is a prime number
BaseRepresentation
bin1101000010111110011…
…0001000111011000001
3210102112110222111221201
43100233212020323001
512133013011422221
6250544514021201
722123214406514
oct3205746107301
9712473874851
10224136826561
118706843924a
1237532b77801
131819ca8427b
14abc3976d7b
155c6c491891
hex342f988ec1

224136826561 has 2 divisors, whose sum is σ = 224136826562. Its totient is φ = 224136826560.

The previous prime is 224136826559. The next prime is 224136826619. The reversal of 224136826561 is 165628631422.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 217207263025 + 6929563536 = 466055^2 + 83244^2 .

It is a cyclic number.

It is not a de Polignac number, because 224136826561 - 21 = 224136826559 is a prime.

Together with 224136826559, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (224136896561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112068413280 + 112068413281.

It is an arithmetic number, because the mean of its divisors is an integer number (112068413281).

Almost surely, 2224136826561 is an apocalyptic number.

It is an amenable number.

224136826561 is a deficient number, since it is larger than the sum of its proper divisors (1).

224136826561 is an equidigital number, since it uses as much as digits as its factorization.

224136826561 is an evil number, because the sum of its binary digits is even.

The product of its digits is 829440, while the sum is 46.

The spelling of 224136826561 in words is "two hundred twenty-four billion, one hundred thirty-six million, eight hundred twenty-six thousand, five hundred sixty-one".