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231528240 = 24335372897
BaseRepresentation
bin11011100110011…
…01011100110000
3121010122212001000
431303031130300
5433232400430
634550242000
75510646306
oct1563153460
9533585030
10231528240
11109767659
1265656300
1338c75a78
1422a6c276
15154d5e60
hexdccd730

231528240 has 160 divisors (see below), whose sum is σ = 819322560. Its totient is φ = 60051456.

The previous prime is 231528217. The next prime is 231528247. The reversal of 231528240 is 42825132.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (231528247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78472 + ... + 81368.

It is an arithmetic number, because the mean of its divisors is an integer number (5120766).

Almost surely, 2231528240 is an apocalyptic number.

231528240 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 231528240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409661280).

231528240 is an abundant number, since it is smaller than the sum of its proper divisors (587794320).

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

231528240 is a wasteful number, since it uses less digits than its factorization.

231528240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 231528240 is about 15216.0520503842. The cubic root of 231528240 is about 614.0465893552.

The spelling of 231528240 in words is "two hundred thirty-one million, five hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 37 40 45 48 54 60 72 74 80 90 108 111 120 135 144 148 180 185 216 222 240 270 296 333 360 370 432 444 540 555 592 666 720 740 888 999 1080 1110 1332 1480 1665 1776 1998 2160 2220 2664 2897 2960 3330 3996 4440 4995 5328 5794 6660 7992 8691 8880 9990 11588 13320 14485 15984 17382 19980 23176 26073 26640 28970 34764 39960 43455 46352 52146 57940 69528 78219 79920 86910 104292 107189 115880 130365 139056 156438 173820 208584 214378 231760 260730 312876 321567 347640 391095 417168 428756 521460 535945 625752 643134 695280 782190 857512 964701 1042920 1071890 1251504 1286268 1564380 1607835 1715024 1929402 2085840 2143780 2572536 2894103 3128760 3215670 3858804 4287560 4823505 5145072 5788206 6257520 6431340 7717608 8575120 9647010 11576412 12862680 14470515 15435216 19294020 23152824 25725360 28941030 38588040 46305648 57882060 77176080 115764120 231528240