Search a number
-
+
2289888 = 25327951
BaseRepresentation
bin1000101111000011100000
311022100010200
420233003200
51041234023
6121025200
725315026
oct10570340
94270120
102289888
111324477
12925200
13622383
14438716
15303743
hex22f0e0

2289888 has 36 divisors (see below), whose sum is σ = 6512688. Its totient is φ = 763200.

The previous prime is 2289871. The next prime is 2289901. The reversal of 2289888 is 8889822.

2289888 is digitally balanced in base 5, 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3688 + ... + 4263.

It is an arithmetic number, because the mean of its divisors is an integer number (180908).

22289888 is an apocalyptic number.

It is an amenable number.

2289888 is an abundant number, since it is smaller than the sum of its proper divisors (4222800).

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

2289888 is a wasteful number, since it uses less digits than its factorization.

2289888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7967 (or 7956 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 2289888 is about 1513.2375887480. The cubic root of 2289888 is about 131.8068801322.

The spelling of 2289888 in words is "two million, two hundred eighty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7951 15902 23853 31804 47706 63608 71559 95412 127216 143118 190824 254432 286236 381648 572472 763296 1144944 2289888