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231214332 = 223293717957
BaseRepresentation
bin11011100100000…
…00110011111100
3121010001220102210
431302000303330
5433142324312
634535420420
75505201156
oct1562006374
9533056383
10231214332
11109572828
1265524710
1338b95c1b
14229c9ad6
1515472e3c
hexdc80cfc

231214332 has 48 divisors (see below), whose sum is σ = 573219360. Its totient is φ = 72398592.

The previous prime is 231214307. The next prime is 231214343. The reversal of 231214332 is 233412132.

231214332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 231214299 and 231214308.

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, 3898 + ... + 21854.

It is an arithmetic number, because the mean of its divisors is an integer number (11942070).

Almost surely, 2231214332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231214332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286609680).

231214332 is an abundant number, since it is smaller than the sum of its proper divisors (342005028).

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

231214332 is a wasteful number, since it uses less digits than its factorization.

231214332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18030 (or 18028 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 231214332 is about 15205.7335239047. The cubic root of 231214332 is about 613.7689539431.

Adding to 231214332 its reverse (233412132), we get a palindrome (464626464).

The spelling of 231214332 in words is "two hundred thirty-one million, two hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 37 58 74 87 111 116 148 174 222 348 444 1073 2146 3219 4292 6438 12876 17957 35914 53871 71828 107742 215484 520753 664409 1041506 1328818 1562259 1993227 2083012 2657636 3124518 3986454 6249036 7972908 19267861 38535722 57803583 77071444 115607166 231214332