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10022657 is a prime number
BaseRepresentation
bin100110001110…
…111100000001
3200212012111112
4212032330001
510031211112
6554453105
7151122401
oct46167401
920765445
1010022657
115726197
123434195
1320cbc88
14148c801
15d2ea22
hex98ef01

10022657 has 2 divisors, whose sum is σ = 10022658. Its totient is φ = 10022656.

The previous prime is 10022653. The next prime is 10022669. The reversal of 10022657 is 75622001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8386816 + 1635841 = 2896^2 + 1279^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022657 - 22 = 10022653 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10022653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011328 + 5011329.

It is an arithmetic number, because the mean of its divisors is an integer number (5011329).

Almost surely, 210022657 is an apocalyptic number.

It is an amenable number.

10022657 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022657 is an equidigital number, since it uses as much as digits as its factorization.

10022657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 10022657 is about 3165.8580195580. The cubic root of 10022657 is about 215.6060563628.

Adding to 10022657 its reverse (75622001), we get a palindrome (85644658).

The spelling of 10022657 in words is "ten million, twenty-two thousand, six hundred fifty-seven".