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2256845 = 541101109
BaseRepresentation
bin1000100110111111001101
311020122210212
420212333031
51034204340
6120212205
725116503
oct10467715
94218725
102256845
111301668
1290a065
13610316
1442a673
152e8a65
hex226fcd

2256845 has 16 divisors (see below), whose sum is σ = 2827440. Its totient is φ = 1728000.

The previous prime is 2256841. The next prime is 2256847. The reversal of 2256845 is 5486522.

It can be written as a sum of positive squares in 8 ways, for example, as 3844 + 2253001 = 62^2 + 1501^2 .

It is not a de Polignac number, because 2256845 - 22 = 2256841 is a prime.

Its product of digits (19200) is a multiple of the sum of its prime divisors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20651 + ... + 20759.

It is an arithmetic number, because the mean of its divisors is an integer number (176715).

22256845 is an apocalyptic number.

It is an amenable number.

2256845 is a deficient number, since it is larger than the sum of its proper divisors (570595).

2256845 is a wasteful number, since it uses less digits than its factorization.

With its successor (2256846) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (256).

2256845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256.

The product of its digits is 19200, while the sum is 32.

The square root of 2256845 is about 1502.2799339670. The cubic root of 2256845 is about 131.1698164814.

The spelling of 2256845 in words is "two million, two hundred fifty-six thousand, eight hundred forty-five".

Divisors: 1 5 41 101 109 205 505 545 4141 4469 11009 20705 22345 55045 451369 2256845