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231035728 = 24711277677
BaseRepresentation
bin11011100010101…
…01001101010000
3121002201211102211
431301111031100
5433121120403
634531521504
75503525360
oct1561251520
9532654384
10231035728
11109460620
1265459294
1338b32841
14229809a0
151543a06d
hexdc55350

231035728 has 80 divisors (see below), whose sum is σ = 560928384. Its totient is φ = 89556480.

The previous prime is 231035699. The next prime is 231035741. The reversal of 231035728 is 827530132.

It is a super-3 number, since 3×2310357283 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 231035728.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340926 + ... + 341602.

Almost surely, 2231035728 is an apocalyptic number.

231035728 is a gapful number since it is divisible by the number (28) 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 231035728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280464192).

231035728 is an abundant number, since it is smaller than the sum of its proper divisors (329892656).

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

231035728 is a wasteful number, since it uses less digits than its factorization.

231035728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 231035728 is about 15199.8594730346. The cubic root of 231035728 is about 613.6108757543.

The spelling of 231035728 in words is "two hundred thirty-one million, thirty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 277 308 554 616 677 1108 1232 1354 1939 2216 2708 3047 3878 4432 4739 5416 6094 7447 7756 9478 10832 12188 14894 15512 18956 21329 24376 29788 31024 37912 42658 48752 52129 59576 75824 85316 104258 119152 170632 187529 208516 341264 375058 417032 750116 834064 1312703 1500232 2062819 2625406 3000464 4125638 5250812 8251276 10501624 14439733 16502552 21003248 28879466 33005104 57758932 115517864 231035728