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2257813007 is a prime number
BaseRepresentation
bin1000011010010011…
…0111111000001111
312211100110210011222
42012210313320033
514111000004012
61012012433555
7106644044132
oct20644677017
95740423158
102257813007
11a5952736a
125301788bb
1329c9c4038
14175c0a219
15d333b972
hex86937e0f

2257813007 has 2 divisors, whose sum is σ = 2257813008. Its totient is φ = 2257813006.

The previous prime is 2257812961. The next prime is 2257813057. The reversal of 2257813007 is 7003187522.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2257813007 - 224 = 2241035791 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2257813057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1128906503 + 1128906504.

It is an arithmetic number, because the mean of its divisors is an integer number (1128906504).

Almost surely, 22257813007 is an apocalyptic number.

2257813007 is a deficient number, since it is larger than the sum of its proper divisors (1).

2257813007 is an equidigital number, since it uses as much as digits as its factorization.

2257813007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 2257813007 is about 47516.4498568654. The cubic root of 2257813007 is about 1311.8856760683.

The spelling of 2257813007 in words is "two billion, two hundred fifty-seven million, eight hundred thirteen thousand, seven".