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2300513514 = 231329412411
BaseRepresentation
bin1000100100011111…
…0000110011101010
312221022211012021020
42021013300303222
514202412413024
61020135553310
7111003020325
oct21107606352
95838735236
102300513514
11a80641942
1254252b836
132a87c4b00
1417b7637bc
15d6e73979
hex891f0cea

2300513514 has 48 divisors (see below), whose sum is σ = 4989540384. Its totient is φ = 706804800.

The previous prime is 2300513507. The next prime is 2300513569. The reversal of 2300513514 is 4153150032.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 952969 + ... + 955379.

It is an arithmetic number, because the mean of its divisors is an integer number (103948758).

Almost surely, 22300513514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300513514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494770192).

2300513514 is an abundant number, since it is smaller than the sum of its proper divisors (2689026870).

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

2300513514 is a wasteful number, since it uses less digits than its factorization.

2300513514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3383 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 2300513514 is about 47963.6686878725. The cubic root of 2300513514 is about 1320.1043524022.

Adding to 2300513514 its reverse (4153150032), we get a palindrome (6453663546).

The spelling of 2300513514 in words is "two billion, three hundred million, five hundred thirteen thousand, five hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 941 1014 1882 2411 2823 4822 5646 7233 12233 14466 24466 31343 36699 62686 73398 94029 159029 188058 318058 407459 477087 814918 954174 1222377 2268751 2444754 4537502 6806253 13612506 29493763 58987526 88481289 176962578 383418919 766837838 1150256757 2300513514