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231044416 = 2617732909
BaseRepresentation
bin11011100010101…
…11010101000000
3121002202021100121
431301113111000
5433121410131
634532030024
75503562611
oct1561272500
9532667317
10231044416
111094670a9
1265462314
1338b36795
1422983c08
151543c911
hexdc57540

231044416 has 56 divisors (see below), whose sum is σ = 492267240. Its totient is φ = 107200512.

The previous prime is 231044377. The next prime is 231044417. The reversal of 231044416 is 614440132.

231044416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 114404416 + 116640000 = 10696^2 + 10800^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231044417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77970 + ... + 80878.

Almost surely, 2231044416 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 231044416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246133620).

231044416 is an abundant number, since it is smaller than the sum of its proper divisors (261222824).

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

231044416 is a wasteful number, since it uses less digits than its factorization.

231044416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 231044416 is about 15200.1452624638. The cubic root of 231044416 is about 613.6185671829.

Adding to 231044416 its reverse (614440132), we get a palindrome (845484548).

The spelling of 231044416 in words is "two hundred thirty-one million, forty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 73 136 146 272 292 544 584 1088 1168 1241 2336 2482 2909 4672 4964 5818 9928 11636 19856 23272 39712 46544 49453 79424 93088 98906 186176 197812 212357 395624 424714 791248 849428 1582496 1698856 3164992 3397712 3610069 6795424 7220138 13590848 14440276 28880552 57761104 115522208 231044416