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231641082 = 232173312287
BaseRepresentation
bin11011100111010…
…00111111111010
3121010212120211100
431303220333322
5433300003312
634552512230
75511626301
oct1563507772
9533776740
10231641082
11109834412
12656ab676
1338cb523a
1422a9b438
15155095dc
hexdce8ffa

231641082 has 48 divisors (see below), whose sum is σ = 533250432. Its totient is φ = 72420480.

The previous prime is 231641077. The next prime is 231641089. The reversal of 231641082 is 280146132.

It is not an unprimeable number, because it can be changed into a prime (231641089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100143 + ... + 102429.

It is an arithmetic number, because the mean of its divisors is an integer number (11109384).

Almost surely, 2231641082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231641082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266625216).

231641082 is an abundant number, since it is smaller than the sum of its proper divisors (301609350).

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

231641082 is a wasteful number, since it uses less digits than its factorization.

231641082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 231641082 is about 15219.7595907426. The cubic root of 231641082 is about 614.1463309554.

The spelling of 231641082 in words is "two hundred thirty-one million, six hundred forty-one thousand, eighty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 331 662 993 1986 2287 2979 4574 5627 5958 6861 11254 13722 16881 20583 33762 38879 41166 50643 77758 101286 116637 233274 349911 699822 756997 1513994 2270991 4541982 6812973 12868949 13625946 25737898 38606847 77213694 115820541 231641082