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224790257 is a prime number
BaseRepresentation
bin11010110011000…
…00011011110001
3120122222112021002
431121200123301
5430021242012
634150011345
75366454116
oct1531403361
9518875232
10224790257
1110598527a
1263346b55
1337756bb3
1421bd690d
1514b047c2
hexd6606f1

224790257 has 2 divisors, whose sum is σ = 224790258. Its totient is φ = 224790256.

The previous prime is 224790239. The next prime is 224790259. The reversal of 224790257 is 752097422.

224790257 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., 214798336 + 9991921 = 14656^2 + 3161^2 .

It is a cyclic number.

It is not a de Polignac number, because 224790257 - 224 = 208013041 is a prime.

Together with 224790259, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 224790257.

It is not a weakly prime, because it can be changed into another prime (224790259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112395128 + 112395129.

It is an arithmetic number, because the mean of its divisors is an integer number (112395129).

Almost surely, 2224790257 is an apocalyptic number.

It is an amenable number.

224790257 is a deficient number, since it is larger than the sum of its proper divisors (1).

224790257 is an equidigital number, since it uses as much as digits as its factorization.

224790257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 224790257 is about 14993.0069365688. The cubic root of 224790257 is about 608.0311483133.

The spelling of 224790257 in words is "two hundred twenty-four million, seven hundred ninety thousand, two hundred fifty-seven".