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2032231340 = 2251789239281
BaseRepresentation
bin111100100100001…
…0110001110101100
312020122000001022102
41321020112032230
513130222400330
6533353434232
7101234452466
oct17110261654
95218001272
102032231340
11953161537
1248870b978
13265050b69
14153c89136
15bd62c945
hex792163ac

2032231340 has 96 divisors (see below), whose sum is σ = 4604947200. Its totient is φ = 750632960.

The previous prime is 2032231339. The next prime is 2032231343. The reversal of 2032231340 is 431322302.

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

It is not an unprimeable number, because it can be changed into a prime (2032231343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7232000 + ... + 7232280.

It is an arithmetic number, because the mean of its divisors is an integer number (47968200).

Almost surely, 22032231340 is an apocalyptic number.

2032231340 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 2032231340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2302473600).

2032231340 is an abundant number, since it is smaller than the sum of its proper divisors (2572715860).

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

2032231340 is a wasteful number, since it uses less digits than its factorization.

2032231340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 633 counting only the distinct ones).

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

The square root of 2032231340 is about 45080.2766184947. The cubic root of 2032231340 is about 1266.6531714475.

Adding to 2032231340 its reverse (431322302), we get a palindrome (2463553642).

The spelling of 2032231340 in words is "two billion, thirty-two million, two hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 89 170 178 239 281 340 356 445 478 562 890 956 1124 1195 1405 1513 1780 2390 2810 3026 4063 4777 4780 5620 6052 7565 8126 9554 15130 16252 19108 20315 21271 23885 25009 30260 40630 42542 47770 50018 67159 81260 85084 95540 100036 106355 125045 134318 212710 250090 268636 335795 361607 425153 425420 500180 671590 723214 850306 1141703 1343180 1446428 1700612 1808035 2125765 2283406 3616070 4251530 4566812 5708515 5977151 7232140 8503060 11417030 11954302 22834060 23908604 29885755 59771510 101611567 119543020 203223134 406446268 508057835 1016115670 2032231340