Search a number
-
+
2288440 = 235711743
BaseRepresentation
bin1000101110101100111000
311022021011001
420232230320
51041212230
6121014344
725310560
oct10565470
94267131
102288440
111323380
129243b4
1362180b
14437da0
153030ca
hex22eb38

2288440 has 64 divisors (see below), whose sum is σ = 6428160. Its totient is φ = 712320.

The previous prime is 2288399. The next prime is 2288441. The reversal of 2288440 is 448822.

2288440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2288399 and 2288408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2288441) 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 15 ways as a sum of consecutive naturals, for example, 2709 + ... + 3451.

It is an arithmetic number, because the mean of its divisors is an integer number (100440).

22288440 is an apocalyptic number.

2288440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2288440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214080).

2288440 is an abundant number, since it is smaller than the sum of its proper divisors (4139720).

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

2288440 is a wasteful number, since it uses less digits than its factorization.

2288440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 2288440 is about 1512.7590687218. The cubic root of 2288440 is about 131.7790917854.

It can be divided in two parts, 228 and 8440, that added together give a palindrome (8668).

The spelling of 2288440 in words is "two million, two hundred eighty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 743 770 1486 1540 2972 3080 3715 5201 5944 7430 8173 10402 14860 16346 20804 26005 29720 32692 40865 41608 52010 57211 65384 81730 104020 114422 163460 208040 228844 286055 326920 457688 572110 1144220 2288440