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2287133838 = 2321111551181
BaseRepresentation
bin1000100001010010…
…1110010010001110
312220101122102210200
42020110232102032
514141001240323
61014541114330
7110451213453
oct21024562216
95811572720
102287133838
11a74033560
12539b589a6
132a5abbb42
14179a7d82a
15d5bce443
hex8852e48e

2287133838 has 24 divisors (see below), whose sum is σ = 5405953176. Its totient is φ = 693070800.

The previous prime is 2287133831. The next prime is 2287133851. The reversal of 2287133838 is 8383317822.

2287133838 is a `hidden beast` number, since 2 + 287 + 1 + 338 + 38 = 666.

It is a super-2 number, since 2×22871338382 = 10461962385849220488, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2287133793 and 2287133802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2287133831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5775393 + ... + 5775788.

It is an arithmetic number, because the mean of its divisors is an integer number (225248049).

Almost surely, 22287133838 is an apocalyptic number.

2287133838 is an abundant number, since it is smaller than the sum of its proper divisors (3118819338).

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

2287133838 is a wasteful number, since it uses less digits than its factorization.

2287133838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11551200 (or 11551197 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 2287133838 is about 47823.9881022066. The cubic root of 2287133838 is about 1317.5401537234.

The spelling of 2287133838 in words is "two billion, two hundred eighty-seven million, one hundred thirty-three thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 11551181 23102362 34653543 69307086 103960629 127062991 207921258 254125982 381188973 762377946 1143566919 2287133838