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2280820 = 225114041
BaseRepresentation
bin1000101100110101110100
311021212200211
420230311310
51040441240
6120515204
725246423
oct10546564
94255624
102280820
111318683
1291bb04
1361b1c9
144352ba
15300bea
hex22cd74

2280820 has 12 divisors (see below), whose sum is σ = 4789764. Its totient is φ = 912320.

The previous prime is 2280767. The next prime is 2280823. The reversal of 2280820 is 280822.

2280820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 501264 + 1779556 = 708^2 + 1334^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2280791 and 2280800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2280823) 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, 57001 + ... + 57040.

It is an arithmetic number, because the mean of its divisors is an integer number (399147).

22280820 is an apocalyptic number.

2280820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2280820 is an abundant number, since it is smaller than the sum of its proper divisors (2508944).

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

2280820 is a wasteful number, since it uses less digits than its factorization.

2280820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114050 (or 114048 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 2280820 is about 1510.2383917779. The cubic root of 2280820 is about 131.6326640463.

The spelling of 2280820 in words is "two million, two hundred eighty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 114041 228082 456164 570205 1140410 2280820