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231320032 = 25411571123
BaseRepresentation
bin11011100100110…
…10100111100000
3121010021021102121
431302122213200
5433204220112
634541554024
75506121266
oct1562324740
9533237377
10231320032
11109635189
1265575914
1338c02078
1422a16436
1515494407
hexdc9a9e0

231320032 has 48 divisors (see below), whose sum is σ = 469908432. Its totient is φ = 112020480.

The previous prime is 231320029. The next prime is 231320069. The reversal of 231320032 is 230023132.

231320032 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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 231319988 and 231320015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205423 + ... + 206545.

It is an arithmetic number, because the mean of its divisors is an integer number (9789759).

Almost surely, 2231320032 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 231320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234954216).

231320032 is an abundant number, since it is smaller than the sum of its proper divisors (238588400).

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

231320032 is a wasteful number, since it uses less digits than its factorization.

231320032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 231320032 is about 15209.2087894144. The cubic root of 231320032 is about 613.8624681793.

Adding to 231320032 its reverse (230023132), we get a palindrome (461343164).

The spelling of 231320032 in words is "two hundred thirty-one million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 41 82 157 164 314 328 628 656 1123 1256 1312 2246 2512 4492 5024 6437 8984 12874 17968 25748 35936 46043 51496 92086 102992 176311 184172 205984 352622 368344 705244 736688 1410488 1473376 2820976 5641952 7228751 14457502 28915004 57830008 115660016 231320032