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2257241093 is a prime number
BaseRepresentation
bin1000011010001010…
…1100010000000101
312211022101201122222
42012202230100011
514110323203333
61011552302125
7106636142552
oct20642542005
95738351588
102257241093
11a59176708
1252bb41945
1329c853923
14175adba29
15d3277298
hex868ac405

2257241093 has 2 divisors, whose sum is σ = 2257241094. Its totient is φ = 2257241092.

The previous prime is 2257241089. The next prime is 2257241123. The reversal of 2257241093 is 3901427522.

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., 1660807009 + 596434084 = 40753^2 + 24422^2 .

It is a cyclic number.

It is not a de Polignac number, because 2257241093 - 22 = 2257241089 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2257241033) 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, 1128620546 + 1128620547.

It is an arithmetic number, because the mean of its divisors is an integer number (1128620547).

Almost surely, 22257241093 is an apocalyptic number.

It is an amenable number.

2257241093 is a deficient number, since it is larger than the sum of its proper divisors (1).

2257241093 is an equidigital number, since it uses as much as digits as its factorization.

2257241093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 2257241093 is about 47510.4314124804. The cubic root of 2257241093 is about 1311.7748979035.

The spelling of 2257241093 in words is "two billion, two hundred fifty-seven million, two hundred forty-one thousand, ninety-three".