Search a number
-
+
231528700 = 225213241739
BaseRepresentation
bin11011100110011…
…01100011111100
3121010122212200001
431303031203330
5433232404300
634550244044
75510650534
oct1563154374
9533585601
10231528700
11109767a37
1265656624
1338c76040
1422a6c4c4
15154d616a
hexdccd8fc

231528700 has 72 divisors (see below), whose sum is σ = 544045040. Its totient is φ = 85017600.

The previous prime is 231528667. The next prime is 231528707. The reversal of 231528700 is 7825132.

231528700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231528707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312931 + ... + 313669.

Almost surely, 2231528700 is an apocalyptic number.

231528700 is a gapful number since it is divisible by the number (20) 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 231528700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272022520).

231528700 is an abundant number, since it is smaller than the sum of its proper divisors (312516340).

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

231528700 is a wasteful number, since it uses less digits than its factorization.

231528700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 231528700 is about 15216.0671659927. The cubic root of 231528700 is about 614.0469960173.

The spelling of 231528700 in words is "two hundred thirty-one million, five hundred twenty-eight thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 241 260 325 482 650 739 964 1205 1300 1478 2410 2956 3133 3695 4820 6025 6266 7390 9607 12050 12532 14780 15665 18475 19214 24100 31330 36950 38428 48035 62660 73900 78325 96070 156650 178099 192140 240175 313300 356198 480350 712396 890495 960700 1780990 2315287 3561980 4452475 4630574 8904950 9261148 11576435 17809900 23152870 46305740 57882175 115764350 231528700