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231000210 = 2325741069
BaseRepresentation
bin11011100010011…
…00100010010010
3121002200000201100
431301030202102
5433114001320
634531045230
75503320000
oct1561144222
9532600640
10231000210
11109436971
1265440816
1338b1c61c
1422971a70
151542e790
hexdc4c892

231000210 has 120 divisors (see below), whose sum is σ = 701314380. Its totient is φ = 52750656.

The previous prime is 231000193. The next prime is 231000239. The reversal of 231000210 is 12000132.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 229249881 + 1750329 = 15141^2 + 1323^2 .

It is a super-2 number, since 2×2310002102 = 106722194040088200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 231000192 and 231000201.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 215556 + ... + 216624.

Almost surely, 2231000210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231000210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350657190).

231000210 is an abundant number, since it is smaller than the sum of its proper divisors (470314170).

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

231000210 is a wasteful number, since it uses less digits than its factorization.

231000210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1086 counting only the distinct ones).

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

The square root of 231000210 is about 15198.6910620619. The cubic root of 231000210 is about 613.5794298992.

Adding to 231000210 its reverse (12000132), we get a palindrome (243000342).

The spelling of 231000210 in words is "two hundred thirty-one million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 343 441 490 630 686 735 882 1029 1069 1470 1715 2058 2138 2205 2401 3087 3207 3430 4410 4802 5145 5345 6174 6414 7203 7483 9621 10290 10690 12005 14406 14966 15435 16035 19242 21609 22449 24010 30870 32070 36015 37415 43218 44898 48105 52381 67347 72030 74830 96210 104762 108045 112245 134694 157143 216090 224490 261905 314286 336735 366667 471429 523810 673470 733334 785715 942858 1100001 1571430 1833335 2200002 2357145 2566669 3300003 3666670 4714290 5133338 5500005 6600006 7700007 11000010 12833345 15400014 16500015 23100021 25666690 33000030 38500035 46200042 77000070 115500105 231000210