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2283230752 = 25116839497
BaseRepresentation
bin1000100000010111…
…0101011000100000
312220010022010202221
42020011311120200
514134001341002
61014321320424
7110403066265
oct21005653040
95803263687
102283230752
11a71908070
12538796114
132a505341a
1417934526c
15d56acc37
hex88175620

2283230752 has 48 divisors (see below), whose sum is σ = 4911453792. Its totient is φ = 1036203520.

The previous prime is 2283230749. The next prime is 2283230753. The reversal of 2283230752 is 2570323822.

It is not an unprimeable number, because it can be changed into a prime (2283230753) 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 7 ways as a sum of consecutive naturals, for example, 235668 + ... + 245164.

It is an arithmetic number, because the mean of its divisors is an integer number (102321954).

Almost surely, 22283230752 is an apocalyptic number.

2283230752 is a gapful number since it is divisible by the number (22) 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 2283230752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455726896).

2283230752 is an abundant number, since it is smaller than the sum of its proper divisors (2628223040).

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

2283230752 is a wasteful number, since it uses less digits than its factorization.

2283230752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10201 (or 10193 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 2283230752 is about 47783.1638969208. The cubic root of 2283230752 is about 1316.7902485367.

The spelling of 2283230752 in words is "two billion, two hundred eighty-three million, two hundred thirty thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 683 1366 2732 5464 7513 9497 10928 15026 18994 21856 30052 37988 60104 75976 104467 120208 151952 208934 240416 303904 417868 835736 1671472 3342944 6486451 12972902 25945804 51891608 71350961 103783216 142701922 207566432 285403844 570807688 1141615376 2283230752