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2280512 = 26132741
BaseRepresentation
bin1000101100110001000000
311021212021102
420230301000
51040434022
6120513532
725245503
oct10546100
94255242
102280512
111318423
1291b8a8
1361b020
1443513a
15300a92
hex22cc40

2280512 has 28 divisors (see below), whose sum is σ = 4875276. Its totient is φ = 1052160.

The previous prime is 2280503. The next prime is 2280517. The reversal of 2280512 is 2150822.

It can be written as a sum of positive squares in 2 ways, for example, as 495616 + 1784896 = 704^2 + 1336^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2280517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 539 + ... + 2202.

It is an arithmetic number, because the mean of its divisors is an integer number (174117).

22280512 is an apocalyptic number.

It is an amenable number.

2280512 is an abundant number, since it is smaller than the sum of its proper divisors (2594764).

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

2280512 is a wasteful number, since it uses less digits than its factorization.

2280512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2280512 is about 1510.1364176789. The cubic root of 2280512 is about 131.6267385918.

The spelling of 2280512 in words is "two million, two hundred eighty thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 2741 5482 10964 21928 35633 43856 71266 87712 142532 175424 285064 570128 1140256 2280512