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231528336 = 243133111969
BaseRepresentation
bin11011100110011…
…01011110010000
3121010122212011120
431303031132100
5433232401321
634550242240
75510646504
oct1563153620
9533585146
10231528336
11109767736
1265656380
1338c75b20
1422a6c304
15154d5ec6
hexdccd790

231528336 has 80 divisors (see below), whose sum is σ = 664957440. Its totient is φ = 68935680.

The previous prime is 231528329. The next prime is 231528337. The reversal of 231528336 is 633825132.

It is a junction number, because it is equal to n+sod(n) for n = 231528297 and 231528306.

It is not an unprimeable number, because it can be changed into a prime (231528337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13360 + ... + 25328.

It is an arithmetic number, because the mean of its divisors is an integer number (8311968).

Almost surely, 2231528336 is an apocalyptic number.

231528336 is a gapful number since it is divisible by the number (26) 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 231528336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332478720).

231528336 is an abundant number, since it is smaller than the sum of its proper divisors (433429104).

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

231528336 is a wasteful number, since it uses less digits than its factorization.

231528336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12024 (or 12018 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 231528336 is about 15216.0552049472. The cubic root of 231528336 is about 614.0466742239.

The spelling of 231528336 in words is "two hundred thirty-one million, five hundred twenty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 1209 1488 1612 2418 3224 4836 6448 9672 11969 19344 23938 35907 47876 71814 95752 143628 155597 191504 287256 311194 371039 466791 574512 622388 742078 933582 1113117 1244776 1484156 1867164 2226234 2489552 2968312 3734328 4452468 4823507 5936624 7468656 8904936 9647014 14470521 17809872 19294028 28941042 38588056 57882084 77176112 115764168 231528336