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231321324 = 223138916661
BaseRepresentation
bin11011100100110…
…10111011101100
3121010021100012110
431302122323230
5433204240244
634542004020
75506125123
oct1562327354
9533240173
10231321324
11109636153
1265576610
1338c02830
1422a16aba
15154949b9
hexdc9aeec

231321324 has 48 divisors (see below), whose sum is σ = 587835360. Its totient is φ = 70371840.

The previous prime is 231321301. The next prime is 231321367. The reversal of 231321324 is 423123132.

It is a super-2 number, since 2×2313213242 = 107019109874225952, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 231321324.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5554 + ... + 22214.

It is an arithmetic number, because the mean of its divisors is an integer number (12246570).

Almost surely, 2231321324 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 231321324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293917680).

231321324 is an abundant number, since it is smaller than the sum of its proper divisors (356514036).

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

231321324 is a wasteful number, since it uses less digits than its factorization.

231321324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16770 (or 16768 counting only the distinct ones).

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

The square root of 231321324 is about 15209.2512636224. The cubic root of 231321324 is about 613.8636110531.

Adding to 231321324 its reverse (423123132), we get a palindrome (654444456).

The spelling of 231321324 in words is "two hundred thirty-one million, three hundred twenty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 89 156 178 267 356 534 1068 1157 2314 3471 4628 6942 13884 16661 33322 49983 66644 99966 199932 216593 433186 649779 866372 1299558 1482829 2599116 2965658 4448487 5931316 8896974 17793948 19276777 38553554 57830331 77107108 115660662 231321324