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231000 = 23353711
BaseRepresentation
bin111000011001011000
3102201212120
4320121120
524343000
64541240
71651320
oct703130
9381776
10231000
11148610
12b1820
13811b3
1460280
15486a0
hex38658

231000 has 128 divisors (see below), whose sum is σ = 898560. Its totient is φ = 48000.

The previous prime is 230999. The next prime is 231001. The reversal of 231000 is 132.

It is an interprime number because it is at equal distance from previous prime (230999) and next prime (231001).

It is a super-2 number, since 2×2310002 = 106722000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 231000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20995 + ... + 21005.

It is an arithmetic number, because the mean of its divisors is an integer number (7020).

2231000 is an apocalyptic number.

231000 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 231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449280).

231000 is an abundant number, since it is smaller than the sum of its proper divisors (667560).

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

231000 is a wasteful number, since it uses less digits than its factorization.

231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 231000 is about 480.6245936279. The cubic root of 231000 is about 61.3579243966.

Adding to 231000 its reverse (132), we get a palindrome (231132).

The spelling of 231000 in words is "two hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 25 28 30 33 35 40 42 44 50 55 56 60 66 70 75 77 84 88 100 105 110 120 125 132 140 150 154 165 168 175 200 210 220 231 250 264 275 280 300 308 330 350 375 385 420 440 462 500 525 550 600 616 660 700 750 770 825 840 875 924 1000 1050 1100 1155 1320 1375 1400 1500 1540 1650 1750 1848 1925 2100 2200 2310 2625 2750 3000 3080 3300 3500 3850 4125 4200 4620 5250 5500 5775 6600 7000 7700 8250 9240 9625 10500 11000 11550 15400 16500 19250 21000 23100 28875 33000 38500 46200 57750 77000 115500 231000