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2257385 = 51334729
BaseRepresentation
bin1000100111000111101001
311020200112212
420213013221
51034214020
6120214505
725121204
oct10470751
94220485
102257385
111302009
1290a435
13610640
1442a93b
152e8cc5
hex2271e9

2257385 has 8 divisors (see below), whose sum is σ = 2917320. Its totient is φ = 1666944.

The previous prime is 2257373. The next prime is 2257391. The reversal of 2257385 is 5837522.

2257385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 90601 + 2166784 = 301^2 + 1472^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2257385 - 210 = 2256361 is a prime.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 17300 + ... + 17429.

It is an arithmetic number, because the mean of its divisors is an integer number (364665).

22257385 is an apocalyptic number.

It is an amenable number.

2257385 is a deficient number, since it is larger than the sum of its proper divisors (659935).

2257385 is a wasteful number, since it uses less digits than its factorization.

2257385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34747.

The product of its digits is 16800, while the sum is 32.

The square root of 2257385 is about 1502.4596500406. The cubic root of 2257385 is about 131.1802774054.

The spelling of 2257385 in words is "two million, two hundred fifty-seven thousand, three hundred eighty-five".

Divisors: 1 5 13 65 34729 173645 451477 2257385