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230431320 = 233257213063
BaseRepresentation
bin11011011110000…
…01101001011000
3121001121010100100
431233001221120
5432442300240
634510535400
75465430300
oct1557015130
9531533310
10230431320
11109088509
1265207560
13389806c2
1422864600
151536ae30
hexdbc1a58

230431320 has 144 divisors (see below), whose sum is σ = 871238160. Its totient is φ = 52665984.

The previous prime is 230431309. The next prime is 230431321. The reversal of 230431320 is 23134032.

230431320 is a `hidden beast` number, since 230 + 431 + 3 + 2 + 0 = 666.

230431320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230431293 and 230431302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230431321) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11109 + ... + 24171.

It is an arithmetic number, because the mean of its divisors is an integer number (6050265).

Almost surely, 2230431320 is an apocalyptic number.

230431320 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 230431320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435619080).

230431320 is an abundant number, since it is smaller than the sum of its proper divisors (640806840).

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

230431320 is a wasteful number, since it uses less digits than its factorization.

230431320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13094 (or 13080 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 230431320 is about 15179.9644268358. The cubic root of 230431320 is about 613.0753233731.

Adding to 230431320 its reverse (23134032), we get a palindrome (253565352).

The spelling of 230431320 in words is "two hundred thirty million, four hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4410 5880 8820 13063 17640 26126 39189 52252 65315 78378 91441 104504 117567 130630 156756 182882 195945 235134 261260 274323 313512 365764 391890 457205 470268 522520 548646 587835 640087 731528 783780 822969 914410 940536 1097292 1175670 1280174 1371615 1567560 1645938 1828820 1920261 2194584 2351340 2560348 2743230 3200435 3291876 3657640 3840522 4114845 4702680 5120696 5486460 5760783 6400870 6583752 7681044 8229690 9601305 10972920 11521566 12801740 15362088 16459380 19202610 23043132 25603480 28803915 32918760 38405220 46086264 57607830 76810440 115215660 230431320