Search a number
-
+
231331200 = 2735224097
BaseRepresentation
bin11011100100111…
…01010110000000
3121010021211202020
431302131112000
5433210044300
634542121440
75506165662
oct1562352600
9533254666
10231331200
11109642611
1265580280
1338c07189
1422a1a532
15154978a0
hexdc9d580

231331200 has 96 divisors (see below), whose sum is σ = 761978760. Its totient is φ = 61685760.

The previous prime is 231331181. The next prime is 231331201. The reversal of 231331200 is 2133132.

231331200 is digitally balanced in base 3, because in such base 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 231331200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231331201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2449 + ... + 21648.

Almost surely, 2231331200 is an apocalyptic number.

231331200 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 231331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380989380).

231331200 is an abundant number, since it is smaller than the sum of its proper divisors (530647560).

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

231331200 is a wasteful number, since it uses less digits than its factorization.

231331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24124 (or 24107 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 231331200 is about 15209.5759309719. The cubic root of 231331200 is about 613.8723469976.

Adding to 231331200 its reverse (2133132), we get a palindrome (233464332).

The spelling of 231331200 in words is "two hundred thirty-one million, three hundred thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 24097 48194 72291 96388 120485 144582 192776 240970 289164 361455 385552 481940 578328 602425 722910 771104 963880 1156656 1204850 1445820 1542208 1807275 1927760 2313312 2409700 2891640 3084416 3614550 3855520 4626624 4819400 5783280 7229100 7711040 9253248 9638800 11566560 14458200 15422080 19277600 23133120 28916400 38555200 46266240 57832800 77110400 115665600 231331200