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2321013200 = 245211895927
BaseRepresentation
bin1000101001010111…
…1101100111010000
312222202101200112212
42022111331213100
514223134410300
61022151211252
7111342200222
oct21225754720
95882350485
102321013200
11a91173630
12549376b28
132acb217bc
1418037c412
15d8b72935
hex8a57d9d0

2321013200 has 120 divisors (see below), whose sum is σ = 6152552640. Its totient is φ = 834380800.

The previous prime is 2321013161. The next prime is 2321013203. The reversal of 2321013200 is 23101232.

It is a happy number.

2321013200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2321013203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388637 + ... + 394563.

It is an arithmetic number, because the mean of its divisors is an integer number (51271272).

Almost surely, 22321013200 is an apocalyptic number.

2321013200 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 2321013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3076276320).

2321013200 is an abundant number, since it is smaller than the sum of its proper divisors (3831539440).

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

2321013200 is a wasteful number, since it uses less digits than its factorization.

2321013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6045 (or 6034 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2321013200 is about 48176.8948771089. The cubic root of 2321013200 is about 1324.0138764469.

Adding to 2321013200 its reverse (23101232), we get a palindrome (2344114432).

The spelling of 2321013200 in words is "two billion, three hundred twenty-one million, thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 89 100 110 176 178 200 220 275 356 400 440 445 550 712 880 890 979 1100 1424 1780 1958 2200 2225 3560 3916 4400 4450 4895 5927 7120 7832 8900 9790 11854 15664 17800 19580 23708 24475 29635 35600 39160 47416 48950 59270 65197 78320 94832 97900 118540 130394 148175 195800 237080 260788 296350 325985 391600 474160 521576 527503 592700 651970 1043152 1055006 1185400 1303940 1629925 2110012 2370800 2607880 2637515 3259850 4220024 5215760 5275030 5802533 6519700 8440048 10550060 11605066 13039400 13187575 21100120 23210132 26078800 26375150 29012665 42200240 46420264 52750300 58025330 92840528 105500600 116050660 145063325 211001200 232101320 290126650 464202640 580253300 1160506600 2321013200