Search a number
-
+
2244256 = 25743233
BaseRepresentation
bin1000100011111010100000
311020000112121
420203322200
51033304011
6120034024
725035010
oct10437240
94200477
102244256
1112a3163
12902914
13607681
14425c40
152e4e71
hex223ea0

2244256 has 48 divisors (see below), whose sum is σ = 5189184. Its totient is φ = 935424.

The previous prime is 2244233. The next prime is 2244257. The reversal of 2244256 is 6524422.

It is a self number, because there is not a number n which added to its sum of digits gives 2244256.

It is not an unprimeable number, because it can be changed into a prime (2244257) 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, 9516 + ... + 9748.

It is an arithmetic number, because the mean of its divisors is an integer number (108108).

22244256 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 2244256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594592).

2244256 is an abundant number, since it is smaller than the sum of its proper divisors (2944928).

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

2244256 is a wasteful number, since it uses less digits than its factorization.

2244256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 285 counting only the distinct ones).

The product of its digits is 3840, while the sum is 25.

The square root of 2244256 is about 1498.0841097882. The cubic root of 2244256 is about 130.9254669936.

Adding to 2244256 its reverse (6524422), we get a palindrome (8768678).

It can be divided in two parts, 2244 and 256, that added together give a square (2500 = 502).

The spelling of 2244256 in words is "two million, two hundred forty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 233 301 344 466 602 688 932 1204 1376 1631 1864 2408 3262 3728 4816 6524 7456 9632 10019 13048 20038 26096 40076 52192 70133 80152 140266 160304 280532 320608 561064 1122128 2244256