Search a number
-
+
2260256 = 25233783
BaseRepresentation
bin1000100111110100100000
311020211111012
420213310200
51034312011
6120240052
725132445
oct10476440
94224435
102260256
111304189
12910028
13611a3b
1442b9cc
152e9a8b
hex227d20

2260256 has 48 divisors (see below), whose sum is σ = 4826304. Its totient is φ = 1039104.

The previous prime is 2260253. The next prime is 2260267. The reversal of 2260256 is 6520622.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2260253) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27191 + ... + 27273.

It is an arithmetic number, because the mean of its divisors is an integer number (100548).

22260256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2260256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413152).

2260256 is an abundant number, since it is smaller than the sum of its proper divisors (2566048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2260256 is a wasteful number, since it uses less digits than its factorization.

2260256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 2260256 is about 1503.4147797597. The cubic root of 2260256 is about 131.2358666565.

Adding to 2260256 its reverse (6520622), we get a palindrome (8780878).

The spelling of 2260256 in words is "two million, two hundred sixty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 23 32 37 46 74 83 92 148 166 184 296 332 368 592 664 736 851 1184 1328 1702 1909 2656 3071 3404 3818 6142 6808 7636 12284 13616 15272 24568 27232 30544 49136 61088 70633 98272 141266 282532 565064 1130128 2260256