Search a number
-
+
231210 = 23257367
BaseRepresentation
bin111000011100101010
3102202011100
4320130222
524344320
64542230
71652040
oct703452
9382140
10231210
11148791
12b1976
1381315
1460390
1548790
hex3872a

231210 has 48 divisors (see below), whose sum is σ = 688896. Its totient is φ = 52704.

The previous prime is 231197. The next prime is 231223. The reversal of 231210 is 12132.

231210 = T97 + T98 + ... + T131.

It is a happy number.

231210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (231197) and next prime (231223).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 231192 and 231201.

It is a congruent number.

It is an unprimeable number.

231210 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 447 + ... + 813.

It is an arithmetic number, because the mean of its divisors is an integer number (14352).

2231210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344448).

231210 is an abundant number, since it is smaller than the sum of its proper divisors (457686).

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

231210 is a wasteful number, since it uses less digits than its factorization.

231210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 231210 is about 480.8430097235. The cubic root of 231210 is about 61.3765120756.

Adding to 231210 its reverse (12132), we get a palindrome (243342).

It can be divided in two parts, 231 and 210, that added together give a square (441 = 212).

The spelling of 231210 in words is "two hundred thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 367 630 734 1101 1835 2202 2569 3303 3670 5138 5505 6606 7707 11010 12845 15414 16515 23121 25690 33030 38535 46242 77070 115605 231210