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2257122427 = 7261755143
BaseRepresentation
bin1000011010001000…
…1111010001111011
312211022011200212221
42012202033101323
514110310404202
61011545544511
7106635136600
oct20642172173
95738150787
102257122427
11a590a553a
1252baa5137
1329c811901
14175aaa6a7
15d3252037
hex8688f47b

2257122427 has 12 divisors (see below), whose sum is σ = 2668678896. Its totient is φ = 1902957840.

The previous prime is 2257122397. The next prime is 2257122473. The reversal of 2257122427 is 7242217522.

2257122427 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-2257122427 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2257122392 and 2257122401.

It is not an unprimeable number, because it can be changed into a prime (2257126427) 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, 374583 + ... + 380560.

It is an arithmetic number, because the mean of its divisors is an integer number (222389908).

Almost surely, 22257122427 is an apocalyptic number.

2257122427 is a deficient number, since it is larger than the sum of its proper divisors (411556469).

2257122427 is an equidigital number, since it uses as much as digits as its factorization.

2257122427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755218 (or 755211 counting only the distinct ones).

The product of its digits is 31360, while the sum is 34.

The square root of 2257122427 is about 47509.1825545336. The cubic root of 2257122427 is about 1311.7519102826.

Adding to 2257122427 its reverse (7242217522), we get a palindrome (9499339949).

The spelling of 2257122427 in words is "two billion, two hundred fifty-seven million, one hundred twenty-two thousand, four hundred twenty-seven".

Divisors: 1 7 49 61 427 2989 755143 5286001 37002007 46063723 322446061 2257122427