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10223777 is a prime number
BaseRepresentation
bin100111000000…
…000010100001
3201020102101102
4213000002201
510104130102
61003044145
7152620634
oct47000241
921212342
1010223777
115853303
123510655
13216c695
141501c1b
15d6e402
hex9c00a1

10223777 has 2 divisors, whose sum is σ = 10223778. Its totient is φ = 10223776.

The previous prime is 10223771. The next prime is 10223791. The reversal of 10223777 is 77732201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9728161 + 495616 = 3119^2 + 704^2 .

It is a cyclic number.

It is not a de Polignac number, because 10223777 - 26 = 10223713 is a prime.

It is a super-2 number, since 2×102237772 = 209051232291458, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10223771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111888 + 5111889.

It is an arithmetic number, because the mean of its divisors is an integer number (5111889).

Almost surely, 210223777 is an apocalyptic number.

It is an amenable number.

10223777 is a deficient number, since it is larger than the sum of its proper divisors (1).

10223777 is an equidigital number, since it uses as much as digits as its factorization.

10223777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4116, while the sum is 29.

The square root of 10223777 is about 3197.4641514800. The cubic root of 10223777 is about 217.0386716386.

Adding to 10223777 its reverse (77732201), we get a palindrome (87955978).

The spelling of 10223777 in words is "ten million, two hundred twenty-three thousand, seven hundred seventy-seven".