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2301125064 = 2337216711717
BaseRepresentation
bin1000100100101000…
…0110000111001000
312221100222021011020
42021022012013020
514203042000224
61020201032440
7111011145300
oct21112060710
95840867136
102301125064
11a80a1a357
12542785720
132a897a284
1417b882600
15d7044c79
hex892861c8

2301125064 has 96 divisors (see below), whose sum is σ = 6732694080. Its totient is φ = 653471616.

The previous prime is 2301125063. The next prime is 2301125077. The reversal of 2301125064 is 4605211032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2301125063) 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 23 ways as a sum of consecutive naturals, for example, 190534 + ... + 202250.

It is an arithmetic number, because the mean of its divisors is an integer number (70132230).

Almost surely, 22301125064 is an apocalyptic number.

2301125064 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 2301125064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366347040).

2301125064 is an abundant number, since it is smaller than the sum of its proper divisors (4431569016).

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

2301125064 is a wasteful number, since it uses less digits than its factorization.

2301125064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11907 (or 11896 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2301125064 is about 47970.0434021067. The cubic root of 2301125064 is about 1320.2213173445.

Adding to 2301125064 its reverse (4605211032), we get a palindrome (6906336096).

The spelling of 2301125064 in words is "two billion, three hundred one million, one hundred twenty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 167 168 196 294 334 392 501 588 668 1002 1169 1176 1336 2004 2338 3507 4008 4676 7014 8183 9352 11717 14028 16366 23434 24549 28056 32732 35151 46868 49098 65464 70302 82019 93736 98196 140604 164038 196392 246057 281208 328076 492114 574133 656152 984228 1148266 1722399 1956739 1968456 2296532 3444798 3913478 4593064 5870217 6889596 7826956 11740434 13697173 13779192 15653912 23480868 27394346 41091519 46961736 54788692 82183038 95880211 109577384 164366076 191760422 287640633 328732152 383520844 575281266 767041688 1150562532 2301125064