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2257042217 = 3771212101
BaseRepresentation
bin1000011010000111…
…1011101100101001
312211022000121212012
42012201323230221
514110300322332
61011544125305
7106634354003
oct20641735451
95738017765
102257042217
11a59050251
1252ba66835
1329c7b4251
14175a89373
15d32383b2
hex8687bb29

2257042217 has 12 divisors (see below), whose sum is σ = 2351345988. Its totient is φ = 2164932000.

The previous prime is 2257042211. The next prime is 2257042223. The reversal of 2257042217 is 7122407522.

2257042217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2257042211) and next prime (2257042223).

It can be written as a sum of positive squares in 2 ways, for example, as 2189210521 + 67831696 = 46789^2 + 8236^2 .

It is not a de Polignac number, because 2257042217 - 24 = 2257042201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2257042211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180467 + ... + 192567.

It is an arithmetic number, because the mean of its divisors is an integer number (195945499).

Almost surely, 22257042217 is an apocalyptic number.

It is an amenable number.

2257042217 is a deficient number, since it is larger than the sum of its proper divisors (94303771).

2257042217 is an equidigital number, since it uses as much as digits as its factorization.

2257042217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12280 (or 12209 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 32.

The square root of 2257042217 is about 47508.3383944335. The cubic root of 2257042217 is about 1311.7363717860.

Adding to 2257042217 its reverse (7122407522), we get a palindrome (9379449739).

The spelling of 2257042217 in words is "two billion, two hundred fifty-seven million, forty-two thousand, two hundred seventeen".

Divisors: 1 37 71 2627 5041 12101 186517 447737 859171 31789327 61001141 2257042217