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2331332032 = 26436171373
BaseRepresentation
bin1000101011110101…
…0100110111000000
320000110210221022211
42022331110313000
514233310111112
61023200311504
7111525665251
oct21275246700
96013727284
102331332032
11a96a81297
12550912594
132b1cc5513
141818a6b28
15d9a100a7
hex8af54dc0

2331332032 has 56 divisors (see below), whose sum is σ = 4744949616. Its totient is φ = 1135884288.

The previous prime is 2331332027. The next prime is 2331332033. The reversal of 2331332032 is 2302331332.

It is a junction number, because it is equal to n+sod(n) for n = 2331331994 and 2331332012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2331332033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1697298 + ... + 1698670.

Almost surely, 22331332032 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 2331332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372474808).

2331332032 is an abundant number, since it is smaller than the sum of its proper divisors (2413617584).

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

2331332032 is a wasteful number, since it uses less digits than its factorization.

2331332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

The square root of 2331332032 is about 48283.8692732884. The cubic root of 2331332032 is about 1325.9730897613.

Adding to 2331332032 its reverse (2302331332), we get a palindrome (4633663364).

The spelling of 2331332032 in words is "two billion, three hundred thirty-one million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 617 688 1234 1373 1376 2468 2746 2752 4936 5492 9872 10984 19744 21968 26531 39488 43936 53062 59039 87872 106124 118078 212248 236156 424496 472312 847141 848992 944624 1694282 1697984 1889248 3388564 3778496 6777128 13554256 27108512 36427063 54217024 72854126 145708252 291416504 582833008 1165666016 2331332032