Search a number
-
+
2281328 = 24720369
BaseRepresentation
bin1000101100111101110000
311021220101122
420230331300
51041000303
6120521412
725251050
oct10547560
94256348
102281328
111318aa5
12920268
1361b4ca
14435560
15300e38
hex22cf70

2281328 has 20 divisors (see below), whose sum is σ = 5051760. Its totient is φ = 977664.

The previous prime is 2281327. The next prime is 2281361. The reversal of 2281328 is 8231822.

2281328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2281297 and 2281306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2281327) 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 3 ways as a sum of consecutive naturals, for example, 10073 + ... + 10296.

It is an arithmetic number, because the mean of its divisors is an integer number (252588).

22281328 is an apocalyptic number.

2281328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2281328 is an abundant number, since it is smaller than the sum of its proper divisors (2770432).

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

2281328 is a wasteful number, since it uses less digits than its factorization.

2281328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20384 (or 20378 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 2281328 is about 1510.4065677823. The cubic root of 2281328 is about 131.6424360332.

The spelling of 2281328 in words is "two million, two hundred eighty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 20369 40738 81476 142583 162952 285166 325904 570332 1140664 2281328