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2286126980 = 225891284341
BaseRepresentation
bin1000100001000011…
…1000011110000100
312220022202021122122
42020100320132010
514140222030410
61014503345112
7110436521144
oct21020703604
95808667578
102286126980
11a73506045
12539752198
132a5828777
1417989a924
15d5a80e55
hex88438784

2286126980 has 24 divisors (see below), whose sum is σ = 4854812760. Its totient is φ = 904175360.

The previous prime is 2286126977. The next prime is 2286126991. The reversal of 2286126980 is 896216822.

It can be written as a sum of positive squares in 4 ways, for example, as 64513024 + 2221613956 = 8032^2 + 47134^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 640391 + ... + 643950.

It is an arithmetic number, because the mean of its divisors is an integer number (202283865).

Almost surely, 22286126980 is an apocalyptic number.

2286126980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2286126980 is an abundant number, since it is smaller than the sum of its proper divisors (2568685780).

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

2286126980 is a wasteful number, since it uses less digits than its factorization.

2286126980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284439 (or 1284437 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The square root of 2286126980 is about 47813.4602387236. The cubic root of 2286126980 is about 1317.3467864421.

The spelling of 2286126980 in words is "two billion, two hundred eighty-six million, one hundred twenty-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 89 178 356 445 890 1780 1284341 2568682 5137364 6421705 12843410 25686820 114306349 228612698 457225396 571531745 1143063490 2286126980