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2256325 = 52175309
BaseRepresentation
bin1000100110110111000101
311020122002121
420212313011
51034200300
6120205541
725115131
oct10466705
94218077
102256325
111301235
129098b1
13610006
1442a3c1
152e881a
hex226dc5

2256325 has 12 divisors (see below), whose sum is σ = 2962980. Its totient is φ = 1698560.

The previous prime is 2256313. The next prime is 2256341. The reversal of 2256325 is 5236522.

2256325 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 6 ways, for example, as 276676 + 1979649 = 526^2 + 1407^2 .

It is not a de Polignac number, because 2256325 - 27 = 2256197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a d-powerful number, because it can be written as 213 + 217 + 5 + 63 + 39 + 221 + 5 .

It is a self number, because there is not a number n which added to its sum of digits gives 2256325.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2230 + ... + 3079.

It is an arithmetic number, because the mean of its divisors is an integer number (246915).

22256325 is an apocalyptic number.

2256325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2256325 is a deficient number, since it is larger than the sum of its proper divisors (706655).

2256325 is a wasteful number, since it uses less digits than its factorization.

2256325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5336 (or 5331 counting only the distinct ones).

The product of its digits is 3600, while the sum is 25.

The square root of 2256325 is about 1502.1068537225. The cubic root of 2256325 is about 131.1597414218.

The spelling of 2256325 in words is "two million, two hundred fifty-six thousand, three hundred twenty-five".

Divisors: 1 5 17 25 85 425 5309 26545 90253 132725 451265 2256325