Search a number
-
+
231314104 = 237217103337
BaseRepresentation
bin11011100100110…
…01001010111000
3121010020222022001
431302121022320
5433204022404
634541510344
75506065100
oct1562311270
9533228261
10231314104
1110963078a
12655723b4
1338bcc468
1422a14200
15154927a4
hexdc992b8

231314104 has 96 divisors (see below), whose sum is σ = 540989280. Its totient is φ = 92123136.

The previous prime is 231314099. The next prime is 231314123. The reversal of 231314104 is 401413132.

231314104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 686224 + ... + 686560.

It is an arithmetic number, because the mean of its divisors is an integer number (5635305).

Almost surely, 2231314104 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 231314104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270494640).

231314104 is an abundant number, since it is smaller than the sum of its proper divisors (309675176).

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

231314104 is a wasteful number, since it uses less digits than its factorization.

231314104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 231314104 is about 15209.0139062334. The cubic root of 231314104 is about 613.8572243507.

Adding to 231314104 its reverse (401413132), we get a palindrome (632727236).

The spelling of 231314104 in words is "two hundred thirty-one million, three hundred fourteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 103 119 136 196 206 238 337 392 412 476 674 721 824 833 952 1348 1442 1666 1751 2359 2696 2884 3332 3502 4718 5047 5729 5768 6664 7004 9436 10094 11458 12257 14008 16513 18872 20188 22916 24514 33026 34711 40103 40376 45832 49028 66052 69422 80206 85799 98056 132104 138844 160412 171598 242977 277688 280721 320824 343196 485954 561442 590087 686392 971908 1122884 1180174 1700839 1943816 2245768 2360348 3401678 4130609 4720696 6803356 8261218 13606712 16522436 28914263 33044872 57828526 115657052 231314104