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224054400961 is a prime number
BaseRepresentation
bin1101000010101010101…
…1101101011111000001
3210102022201212212021201
43100222223231133001
512132330411312321
6250532411221201
722121163661606
oct3205253553701
9712281785251
10224054400961
1187025960716
123750b447801
1318188984b21
14abb6a3c6ad
155c6510e291
hex342aaed7c1

224054400961 has 2 divisors, whose sum is σ = 224054400962. Its totient is φ = 224054400960.

The previous prime is 224054400919. The next prime is 224054401079. The reversal of 224054400961 is 169004450422.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 222176478736 + 1877922225 = 471356^2 + 43335^2 .

It is a cyclic number.

It is not a de Polignac number, because 224054400961 - 27 = 224054400833 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 224054400961.

It is not a weakly prime, because it can be changed into another prime (224054400901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112027200480 + 112027200481.

It is an arithmetic number, because the mean of its divisors is an integer number (112027200481).

Almost surely, 2224054400961 is an apocalyptic number.

It is an amenable number.

224054400961 is a deficient number, since it is larger than the sum of its proper divisors (1).

224054400961 is an equidigital number, since it uses as much as digits as its factorization.

224054400961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 224054400961 in words is "two hundred twenty-four billion, fifty-four million, four hundred thousand, nine hundred sixty-one".