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2288580 = 223575449
BaseRepresentation
bin1000101110101111000100
311022021100020
420232233010
51041213310
6121015140
725311150
oct10565704
94267306
102288580
111323498
129244b0
136218b8
14438060
15303170
hex22ebc4

2288580 has 48 divisors (see below), whose sum is σ = 7324800. Its totient is φ = 523008.

The previous prime is 2288563. The next prime is 2288581. The reversal of 2288580 is 858822.

2288580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2288581) 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, 2305 + ... + 3144.

It is an arithmetic number, because the mean of its divisors is an integer number (152600).

22288580 is an apocalyptic number.

2288580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2288580 is an abundant number, since it is smaller than the sum of its proper divisors (5036220).

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

2288580 is a wasteful number, since it uses less digits than its factorization.

2288580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5468 (or 5466 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 2288580 is about 1512.8053410799. The cubic root of 2288580 is about 131.7817790158.

The spelling of 2288580 in words is "two million, two hundred eighty-eight thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 5449 10898 16347 21796 27245 32694 38143 54490 65388 76286 81735 108980 114429 152572 163470 190715 228858 326940 381430 457716 572145 762860 1144290 2288580