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2268882 = 2327111637
BaseRepresentation
bin1000101001111011010010
311021021022200
420221323102
51040101012
6120344030
725166550
oct10517322
94237280
102268882
11130a710
12915016
13615945
14430bd0
152ec3dc
hex229ed2

2268882 has 48 divisors (see below), whose sum is σ = 6132672. Its totient is φ = 588960.

The previous prime is 2268869. The next prime is 2268887. The reversal of 2268882 is 2888622.

2268882 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2268887) 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 23 ways as a sum of consecutive naturals, for example, 568 + ... + 2204.

It is an arithmetic number, because the mean of its divisors is an integer number (127764).

22268882 is an apocalyptic number.

2268882 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2268882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066336).

2268882 is an abundant number, since it is smaller than the sum of its proper divisors (3863790).

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

2268882 is a wasteful number, since it uses less digits than its factorization.

2268882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1660 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 2268882 is about 1506.2808503065. The cubic root of 2268882 is about 131.4026034527.

It can be divided in two parts, 2268 and 882, that multiplied together give a cube (2000376 = 1263).

The spelling of 2268882 in words is "two million, two hundred sixty-eight thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 1637 3274 4911 9822 11459 14733 18007 22918 29466 34377 36014 54021 68754 103131 108042 126049 162063 206262 252098 324126 378147 756294 1134441 2268882