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2300323300 = 2252113756519
BaseRepresentation
bin1000100100011100…
…0010010111100100
312221022110112100021
42021013002113210
514202340321200
61020131524524
7111001265632
oct21107022744
95838415307
102300323300
11a80521a40
12542459744
132a8759362
1417b714352
15d6e3741a
hex891c25e4

2300323300 has 72 divisors (see below), whose sum is σ = 5592767040. Its totient is φ = 813859200.

The previous prime is 2300323253. The next prime is 2300323307. The reversal of 2300323300 is 33230032.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2300323307) 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 23 ways as a sum of consecutive naturals, for example, 12441 + ... + 68959.

It is an arithmetic number, because the mean of its divisors is an integer number (77677320).

Almost surely, 22300323300 is an apocalyptic number.

2300323300 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 2300323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796383520).

2300323300 is an abundant number, since it is smaller than the sum of its proper divisors (3292443740).

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

2300323300 is a wasteful number, since it uses less digits than its factorization.

2300323300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56581 (or 56574 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 16.

The square root of 2300323300 is about 47961.6857501902. The cubic root of 2300323300 is about 1320.0679678807.

Adding to 2300323300 its reverse (33230032), we get a palindrome (2333553332).

It can be divided in two parts, 230032 and 3300, that added together give a palindrome (233332).

The spelling of 2300323300 in words is "two billion, three hundred million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 37 44 50 55 74 100 110 148 185 220 275 370 407 550 740 814 925 1100 1628 1850 2035 3700 4070 8140 10175 20350 40700 56519 113038 226076 282595 565190 621709 1130380 1243418 1412975 2091203 2486836 2825950 3108545 4182406 5651900 6217090 8364812 10456015 12434180 15542725 20912030 23003233 31085450 41824060 46006466 52280075 62170900 92012932 104560150 115016165 209120300 230032330 460064660 575080825 1150161650 2300323300