Search a number
-
+
231145124 = 227172343491
BaseRepresentation
bin11011100011011…
…11111010100100
3121002221101111112
431301233322210
5433133120444
634534124152
75504462330
oct1561577244
9532841445
10231145124
11109525831
12654b0658
1338b70582
14229ac7c0
151545c69e
hexdc6fea4

231145124 has 96 divisors (see below), whose sum is σ = 523708416. Its totient is φ = 86929920.

The previous prime is 231145111. The next prime is 231145151. The reversal of 231145124 is 421541132.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 231145124.

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 31 ways as a sum of consecutive naturals, for example, 470519 + ... + 471009.

It is an arithmetic number, because the mean of its divisors is an integer number (5455296).

Almost surely, 2231145124 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 231145124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261854208).

231145124 is an abundant number, since it is smaller than the sum of its proper divisors (292563292).

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

231145124 is a wasteful number, since it uses less digits than its factorization.

231145124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 583 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 231145124 is about 15203.4576330518. The cubic root of 231145124 is about 613.7077092381.

Adding to 231145124 its reverse (421541132), we get a palindrome (652686256).

The spelling of 231145124 in words is "two hundred thirty-one million, one hundred forty-five thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 17 23 28 34 43 46 68 86 92 119 161 172 238 301 322 391 476 491 602 644 731 782 982 989 1204 1462 1564 1964 1978 2737 2924 3437 3956 5117 5474 6874 6923 8347 10234 10948 11293 13748 13846 16694 16813 20468 21113 22586 27692 33388 33626 42226 45172 58429 67252 79051 84452 116858 117691 147791 158102 191981 233716 235382 295582 316204 358921 383962 470764 485599 591164 717842 767924 971198 1343867 1435684 1942396 2512447 2687734 3399193 5024894 5375468 6798386 8255183 10049788 13596772 16510366 33020732 57786281 115572562 231145124