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231243200 = 26521131279
BaseRepresentation
bin11011100100001…
…11110111000000
3121010010101000222
431302013313000
5433144240300
634540202212
75505351266
oct1562076700
9533111028
10231243200
11109592491
1265539368
1338ba60c6
14229d6436
151547b785
hexdc87dc0

231243200 has 84 divisors (see below), whose sum is σ = 574487040. Its totient is φ = 91607040.

The previous prime is 231243179. The next prime is 231243209. The reversal of 231243200 is 2342132.

231243200 is digitally balanced in base 2, 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 (231243209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180161 + ... + 181439.

Almost surely, 2231243200 is an apocalyptic number.

231243200 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 231243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287243520).

231243200 is an abundant number, since it is smaller than the sum of its proper divisors (343243840).

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

231243200 is a wasteful number, since it uses less digits than its factorization.

231243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 231243200 is about 15206.6827414792. The cubic root of 231243200 is about 613.7944966861.

Adding to 231243200 its reverse (2342132), we get a palindrome (233585332).

The spelling of 231243200 in words is "two hundred thirty-one million, two hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 113 160 200 226 320 400 452 565 800 904 1130 1279 1600 1808 2260 2558 2825 3616 4520 5116 5650 6395 7232 9040 10232 11300 12790 18080 20464 22600 25580 31975 36160 40928 45200 51160 63950 81856 90400 102320 127900 144527 180800 204640 255800 289054 409280 511600 578108 722635 1023200 1156216 1445270 2046400 2312432 2890540 3613175 4624864 5781080 7226350 9249728 11562160 14452700 23124320 28905400 46248640 57810800 115621600 231243200