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2323312400 = 2452191072857
BaseRepresentation
bin1000101001111010…
…1110111100010000
312222220201111110102
42022132232330100
514224231444100
61022312351532
7111400554353
oct21236567420
95886644412
102323312400
11a924a3aa2
1254a0a55a8
132b0448186
141807ba29a
15d8e78cd5
hex8a7aef10

2323312400 has 120 divisors (see below), whose sum is σ = 5932522080. Its totient is φ = 871879680.

The previous prime is 2323312373. The next prime is 2323312417. The reversal of 2323312400 is 42133232.

2323312400 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 811772 + ... + 814628.

It is an arithmetic number, because the mean of its divisors is an integer number (49437684).

Almost surely, 22323312400 is an apocalyptic number.

2323312400 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 2323312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966261040).

2323312400 is an abundant number, since it is smaller than the sum of its proper divisors (3609209680).

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

2323312400 is a wasteful number, since it uses less digits than its factorization.

2323312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3001 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2323312400 is about 48200.7510314933. The cubic root of 2323312400 is about 1324.4509223700.

Adding to 2323312400 its reverse (42133232), we get a palindrome (2365445632).

The spelling of 2323312400 in words is "two billion, three hundred twenty-three million, three hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 107 152 190 200 214 304 380 400 428 475 535 760 856 950 1070 1520 1712 1900 2033 2140 2675 2857 3800 4066 4280 5350 5714 7600 8132 8560 10165 10700 11428 14285 16264 20330 21400 22856 28570 32528 40660 42800 45712 50825 54283 57140 71425 81320 101650 108566 114280 142850 162640 203300 217132 228560 271415 285700 305699 406600 434264 542830 571400 611398 813200 868528 1085660 1142800 1222796 1357075 1528495 2171320 2445592 2714150 3056990 4342640 4891184 5428300 5808281 6113980 7642475 10856600 11616562 12227960 15284950 21713200 23233124 24455920 29041405 30569900 46466248 58082810 61139800 92932496 116165620 122279600 145207025 232331240 290414050 464662480 580828100 1161656200 2323312400