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2286923904 = 273219163641
BaseRepresentation
bin1000100001001111…
…1011000010000000
312220101020202211100
42020103323002000
514140423031104
61014532414400
7110446350426
oct21023730200
95811222740
102286923904
11a739aa861
12539a77400
132a5a47415
14179a27116
15d5b8c139
hex884fb080

2286923904 has 192 divisors, whose sum is σ = 6980594400. Its totient is φ = 716636160.

The previous prime is 2286923887. The next prime is 2286923927. The reversal of 2286923904 is 4093296822.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 2286923904.

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 23 ways as a sum of consecutive naturals, for example, 3567424 + ... + 3568064.

Almost surely, 22286923904 is an apocalyptic number.

2286923904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2286923904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3490297200).

2286923904 is an abundant number, since it is smaller than the sum of its proper divisors (4693670496).

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

2286923904 is a wasteful number, since it uses less digits than its factorization.

2286923904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2286923904 is about 47821.7931909710. The cubic root of 2286923904 is about 1317.4998405400.

The spelling of 2286923904 in words is "two billion, two hundred eighty-six million, nine hundred twenty-three thousand, nine hundred four".