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2300023300 = 2252316112163
BaseRepresentation
bin1000100100010111…
…1001001000000100
312221021220021211011
42021011321020010
514202301221200
61020121252004
7110665606201
oct21105711004
95837807734
102300023300
11a80337603
12542334004
132a8682943
1417b676ca8
15d6dc85ba
hex89179204

2300023300 has 72 divisors (see below), whose sum is σ = 5236942592. Its totient is φ = 875664000.

The previous prime is 2300023273. The next prime is 2300023303. The reversal of 2300023300 is 33200032.

It is not an unprimeable number, because it can be changed into a prime (2300023303) 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, 183019 + ... + 195181.

Almost surely, 22300023300 is an apocalyptic number.

2300023300 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 2300023300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618471296).

2300023300 is an abundant number, since it is smaller than the sum of its proper divisors (2936919292).

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

2300023300 is a wasteful number, since it uses less digits than its factorization.

2300023300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12269 (or 12262 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 13.

The square root of 2300023300 is about 47958.5581518044. The cubic root of 2300023300 is about 1320.0105791928.

Adding to 2300023300 its reverse (33200032), we get a palindrome (2333223332).

The spelling of 2300023300 in words is "two billion, three hundred million, twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 61 62 100 122 124 155 244 305 310 610 620 775 1220 1525 1550 1891 3050 3100 3782 6100 7564 9455 12163 18910 24326 37820 47275 48652 60815 94550 121630 189100 243260 304075 377053 608150 741943 754106 1216300 1483886 1508212 1885265 2967772 3709715 3770530 7419430 7541060 9426325 14838860 18548575 18852650 23000233 37097150 37705300 46000466 74194300 92000932 115001165 230002330 460004660 575005825 1150011650 2300023300