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2287421928 = 23321110872657
BaseRepresentation
bin1000100001010111…
…0100100111101000
312220102012001222200
42020111310213220
514141040000203
61014551220200
7110453523411
oct21025644750
95812161880
102287421928
11a7420aa50
1253a077660
132a5b8cccc
14179b16808
15d5c399a3
hex885749e8

2287421928 has 96 divisors (see below), whose sum is σ = 6767055360. Its totient is φ = 692259840.

The previous prime is 2287421887. The next prime is 2287421933. The reversal of 2287421928 is 8291247822.

It is a happy number.

It is a Cunningham number, because it is equal to 478272-1.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 859576 + ... + 862232.

It is an arithmetic number, because the mean of its divisors is an integer number (70490160).

Almost surely, 22287421928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2287421928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3383527680).

2287421928 is an abundant number, since it is smaller than the sum of its proper divisors (4479633432).

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

2287421928 is a wasteful number, since it uses less digits than its factorization.

2287421928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3767 (or 3760 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 2287421928 is about 47826.9999895457. Note that the first 4 decimals coincide. The cubic root of 2287421928 is about 1317.5954710236.

The spelling of 2287421928 in words is "two billion, two hundred eighty-seven million, four hundred twenty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1087 2174 2657 3261 4348 5314 6522 7971 8696 9783 10628 11957 13044 15942 19566 21256 23913 23914 26088 29227 31884 35871 39132 47826 47828 58454 63768 71742 78264 87681 95652 95656 107613 116908 143484 175362 191304 215226 233816 263043 286968 350724 430452 526086 701448 860904 1052172 2104344 2888159 5776318 8664477 11552636 17328954 23105272 25993431 31769749 34657908 51986862 63539498 69315816 95309247 103973724 127078996 190618494 207947448 254157992 285927741 381236988 571855482 762473976 1143710964 2287421928