Search a number
-
+
2291256 = 2332112263
BaseRepresentation
bin1000101111011000111000
311022102000100
420233120320
51041310011
6121035400
725322022
oct10573070
94272010
102291256
111325500
12925b60
13622b96
14439012
15303d56
hex22f638

2291256 has 72 divisors (see below), whose sum is σ = 6846840. Its totient is φ = 691680.

The previous prime is 2291239. The next prime is 2291257. The reversal of 2291256 is 6521922.

2291256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2291257) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 8581 + ... + 8843.

It is an arithmetic number, because the mean of its divisors is an integer number (95095).

22291256 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 2291256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423420).

2291256 is an abundant number, since it is smaller than the sum of its proper divisors (4555584).

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

2291256 is a wasteful number, since it uses less digits than its factorization.

2291256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 279 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 2291256 is about 1513.6895322357. The cubic root of 2291256 is about 131.8331224517.

It can be divided in two parts, 229 and 1256, that added together give a triangular number (1485 = T54).

The spelling of 2291256 in words is "two million, two hundred ninety-one thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 263 264 363 396 484 526 726 789 792 968 1052 1089 1452 1578 2104 2178 2367 2893 2904 3156 4356 4734 5786 6312 8679 8712 9468 11572 17358 18936 23144 26037 31823 34716 52074 63646 69432 95469 104148 127292 190938 208296 254584 286407 381876 572814 763752 1145628 2291256