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231132220 = 225111975333
BaseRepresentation
bin11011100011011…
…00110000111100
3121002220201210121
431301230300330
5433132212340
634533544324
75504406604
oct1561546074
9532821717
10231132220
11109517070
12654a50a4
1338b67737
14229a7c04
151545894a
hexdc6cc3c

231132220 has 48 divisors (see below), whose sum is σ = 532290528. Its totient is φ = 83605760.

The previous prime is 231132217. The next prime is 231132257. The reversal of 231132220 is 22231132.

It is a junction number, because it is equal to n+sod(n) for n = 231132194 and 231132203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40674 + ... + 46006.

It is an arithmetic number, because the mean of its divisors is an integer number (11089386).

Almost surely, 2231132220 is an apocalyptic number.

231132220 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 231132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266145264).

231132220 is an abundant number, since it is smaller than the sum of its proper divisors (301158308).

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

231132220 is a wasteful number, since it uses less digits than its factorization.

231132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5550 (or 5548 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 231132220 is about 15203.0332499801. The cubic root of 231132220 is about 613.6962886617.

Adding to 231132220 its reverse (22231132), we get a palindrome (253363352).

The spelling of 231132220 in words is "two hundred thirty-one million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 197 220 394 788 985 1970 2167 3940 4334 5333 8668 10666 10835 21332 21670 26665 43340 53330 58663 106660 117326 234652 293315 586630 1050601 1173260 2101202 4202404 5253005 10506010 11556611 21012020 23113222 46226444 57783055 115566110 231132220