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231331520 = 2657611693
BaseRepresentation
bin11011100100111…
…01011011000000
3121010021212012002
431302131123000
5433210102040
634542123132
75506166630
oct1562353300
9533255162
10231331520
11109642882
12655804a8
1338c07374
1422a1a6c0
1515497a15
hexdc9d6c0

231331520 has 112 divisors (see below), whose sum is σ = 640250688. Its totient is φ = 77967360.

The previous prime is 231331519. The next prime is 231331523. The reversal of 231331520 is 25133132.

231331520 is digitally balanced in base 2 and base 3, because in such bases 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 (112).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 231331492 and 231331501.

It is not an unprimeable number, because it can be changed into a prime (231331523) 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, 135794 + ... + 137486.

It is an arithmetic number, because the mean of its divisors is an integer number (5716524).

Almost surely, 2231331520 is an apocalyptic number.

231331520 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 231331520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320125344).

231331520 is an abundant number, since it is smaller than the sum of its proper divisors (408919168).

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

231331520 is a wasteful number, since it uses less digits than its factorization.

231331520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 231331520 is about 15209.5864506567. The cubic root of 231331520 is about 613.8726300536.

Adding to 231331520 its reverse (25133132), we get a palindrome (256464652).

It can be divided in two parts, 2313 and 31520, that added together give a palindrome (33833).

The spelling of 231331520 in words is "two hundred thirty-one million, three hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 61 64 70 80 112 122 140 160 224 244 280 305 320 427 448 488 560 610 854 976 1120 1220 1693 1708 1952 2135 2240 2440 3386 3416 3904 4270 4880 6772 6832 8465 8540 9760 11851 13544 13664 16930 17080 19520 23702 27088 27328 33860 34160 47404 54176 59255 67720 68320 94808 103273 108352 118510 135440 136640 189616 206546 237020 270880 379232 413092 474040 516365 541760 722911 758464 826184 948080 1032730 1445822 1652368 1896160 2065460 2891644 3304736 3614555 3792320 4130920 5783288 6609472 7229110 8261840 11566576 14458220 16523680 23133152 28916440 33047360 46266304 57832880 115665760 231331520