Search a number
-
+
231533856 = 2533893011
BaseRepresentation
bin11011100110011…
…10110100100000
3121010200010202000
431303032310200
5433233040411
634550324000
75511001551
oct1563166440
9533603660
10231533856
111097708a4
1265659600
1338c784a8
1422a70328
15154d7956
hexdcced20

231533856 has 96 divisors (see below), whose sum is σ = 683121600. Its totient is φ = 76285440.

The previous prime is 231533831. The next prime is 231533899. The reversal of 231533856 is 658335132.

231533856 is a `hidden beast` number, since 2 + 315 + 338 + 5 + 6 = 666.

231533856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 231533856.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75391 + ... + 78401.

It is an arithmetic number, because the mean of its divisors is an integer number (7115850).

Almost surely, 2231533856 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 231533856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341560800).

231533856 is an abundant number, since it is smaller than the sum of its proper divisors (451587744).

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

231533856 is a wasteful number, since it uses less digits than its factorization.

231533856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3119 (or 3105 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 231533856 is about 15216.2365912206. The cubic root of 231533856 is about 614.0515541316.

Adding to 231533856 its reverse (658335132), we get a palindrome (889868988).

The spelling of 231533856 in words is "two hundred thirty-one million, five hundred thirty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 89 96 108 144 178 216 267 288 356 432 534 712 801 864 1068 1424 1602 2136 2403 2848 3011 3204 4272 4806 6022 6408 8544 9033 9612 12044 12816 18066 19224 24088 25632 27099 36132 38448 48176 54198 72264 76896 81297 96352 108396 144528 162594 216792 267979 289056 325188 433584 535958 650376 803937 867168 1071916 1300752 1607874 2143832 2411811 2601504 3215748 4287664 4823622 6431496 7235433 8575328 9647244 12862992 14470866 19294488 25725984 28941732 38588976 57883464 77177952 115766928 231533856