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2332320032 = 257217591483
BaseRepresentation
bin1000101100000100…
…0110000100100000
320000112200010121102
42023001012010200
514234033220112
61023233413532
7111540251600
oct21301060440
96015603542
102332320032
11a97596619
1255110a2a8
132b2280133
14181a82c00
15d9b57bc2
hex8b046120

2332320032 has 144 divisors (see below), whose sum is σ = 5755367520. Its totient is φ = 924198912.

The previous prime is 2332320017. The next prime is 2332320071. The reversal of 2332320032 is 2300232332.

It is a junction number, because it is equal to n+sod(n) for n = 2332319986 and 2332320013.

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, 1571963 + ... + 1573445.

It is an arithmetic number, because the mean of its divisors is an integer number (39967830).

Almost surely, 22332320032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2332320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877683760).

2332320032 is an abundant number, since it is smaller than the sum of its proper divisors (3423047488).

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

2332320032 is a wasteful number, since it uses less digits than its factorization.

2332320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 2332320032 is about 48294.0993497135. The cubic root of 2332320032 is about 1326.1603755953.

Adding to 2332320032 its reverse (2300232332), we get a palindrome (4632552364).

The spelling of 2332320032 in words is "two billion, three hundred thirty-two million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 59 68 98 112 118 119 136 196 224 236 238 272 392 413 472 476 544 784 826 833 944 952 1003 1483 1568 1652 1666 1888 1904 2006 2891 2966 3304 3332 3808 4012 5782 5932 6608 6664 7021 8024 10381 11564 11864 13216 13328 14042 16048 20762 23128 23728 25211 26656 28084 32096 41524 46256 47456 49147 50422 56168 72667 83048 87497 92512 98294 100844 112336 145334 166096 174994 176477 196588 201688 224672 290668 332192 349988 352954 393176 403376 581336 612479 699976 705908 786352 806752 1162672 1224958 1235339 1399952 1411816 1487449 1572704 2325344 2449916 2470678 2799904 2823632 2974898 4287353 4899832 4941356 5647264 5949796 8574706 9799664 9882712 10412143 11899592 17149412 19599328 19765424 20824286 23799184 34298824 39530848 41648572 47598368 68597648 72885001 83297144 137195296 145770002 166594288 291540004 333188576 583080008 1166160016 2332320032