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2301023320 = 2354110971279
BaseRepresentation
bin1000100100100110…
…1101010001011000
312221100210002120221
42021021231101120
514203030221240
61020154525424
7111010242541
oct21111552130
95840702527
102301023320
11a8095a972
12542736874
132a8942b7b
1417b8574c8
15d7024a4a
hex8926d458

2301023320 has 64 divisors (see below), whose sum is σ = 5312563200. Its totient is φ = 896440320.

The previous prime is 2301023317. The next prime is 2301023327. The reversal of 2301023320 is 233201032.

It is a junction number, because it is equal to n+sod(n) for n = 2301023294 and 2301023303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301023327) 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 15 ways as a sum of consecutive naturals, for example, 1798441 + ... + 1799719.

It is an arithmetic number, because the mean of its divisors is an integer number (83008800).

Almost surely, 22301023320 is an apocalyptic number.

2301023320 is a gapful number since it is divisible by the number (20) 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 2301023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656281600).

2301023320 is an abundant number, since it is smaller than the sum of its proper divisors (3011539880).

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

2301023320 is a wasteful number, since it uses less digits than its factorization.

2301023320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2301023320 is about 47968.9828952001. The cubic root of 2301023320 is about 1320.2018592426.

Adding to 2301023320 its reverse (233201032), we get a palindrome (2534224352).

The spelling of 2301023320 in words is "two billion, three hundred one million, twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1097 1279 1640 2194 2558 4388 5116 5485 6395 8776 10232 10970 12790 21940 25580 43880 44977 51160 52439 89954 104878 179908 209756 224885 262195 359816 419512 449770 524390 899540 1048780 1403063 1799080 2097560 2806126 5612252 7015315 11224504 14030630 28061260 56122520 57525583 115051166 230102332 287627915 460204664 575255830 1150511660 2301023320