Search a number
-
+
231214336 = 282393779
BaseRepresentation
bin11011100100000…
…00110100000000
3121010001220102221
431302000310000
5433142324321
634535420424
75505201163
oct1562006400
9533056387
10231214336
11109572831
1265524714
1338b95c22
14229c9ada
1515472e41
hexdc80d00

231214336 has 36 divisors (see below), whose sum is σ = 463579200. Its totient is φ = 115092992.

The previous prime is 231214307. The next prime is 231214343. The reversal of 231214336 is 633412132.

231214336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 231214336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59295 + ... + 63073.

It is an arithmetic number, because the mean of its divisors is an integer number (12877200).

Almost surely, 2231214336 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 231214336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231789600).

231214336 is an abundant number, since it is smaller than the sum of its proper divisors (232364864).

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

231214336 is an equidigital number, since it uses as much as digits as its factorization.

231214336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4034 (or 4020 counting only the distinct ones).

The product of its digits is 2592, while the sum is 25.

The square root of 231214336 is about 15205.7336554341. The cubic root of 231214336 is about 613.7689574825.

Adding to 231214336 its reverse (633412132), we get a palindrome (864626468).

The spelling of 231214336 in words is "two hundred thirty-one million, two hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 239 256 478 956 1912 3779 3824 7558 7648 15116 15296 30232 30592 60464 61184 120928 241856 483712 903181 967424 1806362 3612724 7225448 14450896 28901792 57803584 115607168 231214336