Search a number
-
+
231320320 = 2857112347
BaseRepresentation
bin11011100100110…
…10101100000000
3121010021021211021
431302122230000
5433204222240
634541555224
75506122160
oct1562325400
9533237737
10231320320
11109635420
1265575b14
1338c0223a
1422a165a0
151549454a
hexdc9ab00

231320320 has 144 divisors (see below), whose sum is σ = 691100928. Its totient is φ = 72069120.

The previous prime is 231320317. The next prime is 231320329. The reversal of 231320320 is 23023132.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 231320294 and 231320303.

It is not an unprimeable number, because it can be changed into a prime (231320329) 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, 97387 + ... + 99733.

It is an arithmetic number, because the mean of its divisors is an integer number (4799312).

Almost surely, 2231320320 is an apocalyptic number.

231320320 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 231320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345550464).

231320320 is an abundant number, since it is smaller than the sum of its proper divisors (459780608).

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

231320320 is a wasteful number, since it uses less digits than its factorization.

231320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 231320320 is about 15209.2182573596. The cubic root of 231320320 is about 613.8627229379.

Adding to 231320320 its reverse (23023132), we get a palindrome (254343452).

The spelling of 231320320 in words is "two hundred thirty-one million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 256 280 308 320 352 385 440 448 560 616 640 704 770 880 896 1120 1232 1280 1408 1540 1760 1792 2240 2347 2464 2816 3080 3520 4480 4694 4928 6160 7040 8960 9388 9856 11735 12320 14080 16429 18776 19712 23470 24640 25817 32858 37552 46940 49280 51634 65716 75104 82145 93880 98560 103268 129085 131432 150208 164290 180719 187760 206536 258170 262864 300416 328580 361438 375520 413072 516340 525728 600832 657160 722876 751040 826144 903595 1032680 1051456 1314320 1445752 1502080 1652288 1807190 2065360 2102912 2628640 2891504 3004160 3304576 3614380 4130720 4205824 5257280 5783008 6609152 7228760 8261440 10514560 11566016 14457520 16522880 21029120 23132032 28915040 33045760 46264064 57830080 115660160 231320320