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2323313300 = 2252711535693
BaseRepresentation
bin1000101001111010…
…1111001010010100
312222220201112200202
42022132233022110
514224232011200
61022312400032
7111400560110
oct21236571224
95886645622
102323313300
11a924a4740
1254a0a6018
132b04486c9
141807ba740
15d8e791d5
hex8a7af294

2323313300 has 144 divisors (see below), whose sum is σ = 6405340032. Its totient is φ = 710361600.

The previous prime is 2323313243. The next prime is 2323313303. The reversal of 2323313300 is 33133232.

2323313300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2323313303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 405254 + ... + 410946.

It is an arithmetic number, because the mean of its divisors is an integer number (44481528).

Almost surely, 22323313300 is an apocalyptic number.

2323313300 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 2323313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3202670016).

2323313300 is an abundant number, since it is smaller than the sum of its proper divisors (4082026732).

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

2323313300 is a wasteful number, since it uses less digits than its factorization.

2323313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5778 (or 5771 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

The square root of 2323313300 is about 48200.7603674465. The cubic root of 2323313300 is about 1324.4510933910.

Adding to 2323313300 its reverse (33133232), we get a palindrome (2356446532).

The spelling of 2323313300 in words is "two billion, three hundred twenty-three million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 53 55 70 77 100 106 110 140 154 175 212 220 265 275 308 350 371 385 530 550 583 700 742 770 1060 1100 1166 1325 1484 1540 1855 1925 2332 2650 2915 3710 3850 4081 5300 5693 5830 7420 7700 8162 9275 11386 11660 14575 16324 18550 20405 22772 28465 29150 37100 39851 40810 56930 58300 62623 79702 81620 102025 113860 125246 142325 159404 199255 204050 250492 284650 301729 313115 398510 408100 438361 569300 603458 626230 797020 876722 996275 1206916 1252460 1508645 1565575 1753444 1992550 2112103 2191805 3017290 3131150 3319019 3985100 4224206 4383610 6034580 6262300 6638038 7543225 8448412 8767220 10560515 10959025 13276076 15086450 16595095 21121030 21918050 23233133 30172900 33190190 42242060 43836100 46466266 52802575 66380380 82975475 92932532 105605150 116165665 165950950 211210300 232331330 331901900 464662660 580828325 1161656650 2323313300