Search a number
-
+
231130224 = 243213311397
BaseRepresentation
bin11011100011011…
…00010001110000
3121002220122001200
431301230101300
5433132131344
634533531200
75504401023
oct1561542160
9532818050
10231130224
11109515616
12654a3b00
1338b66860
14229a71ba
1515458069
hexdc6c470

231130224 has 120 divisors (see below), whose sum is σ = 700600992. Its totient is φ = 70709760.

The previous prime is 231130217. The next prime is 231130253. The reversal of 231130224 is 422031132.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 231130197 and 231130206.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 581994 + ... + 582390.

Almost surely, 2231130224 is an apocalyptic number.

231130224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231130224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350300496).

231130224 is an abundant number, since it is smaller than the sum of its proper divisors (469470768).

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

231130224 is a wasteful number, since it uses less digits than its factorization.

231130224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 231130224 is about 15202.9676050434. The cubic root of 231130224 is about 613.6945220807.

Adding to 231130224 its reverse (422031132), we get a palindrome (653161356).

The spelling of 231130224 in words is "two hundred thirty-one million, one hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 311 312 397 468 622 624 794 933 936 1191 1244 1588 1866 1872 2382 2488 2799 3176 3573 3732 4043 4764 4976 5161 5598 6352 7146 7464 8086 9528 10322 11196 12129 14292 14928 15483 16172 19056 20644 22392 24258 28584 30966 32344 36387 41288 44784 46449 48516 57168 61932 64688 72774 82576 92898 97032 123467 123864 145548 185796 194064 246934 247728 291096 370401 371592 493868 582192 740802 743184 987736 1111203 1481604 1605071 1975472 2222406 2963208 3210142 4444812 4815213 5926416 6420284 8889624 9630426 12840568 14445639 17779248 19260852 25681136 28891278 38521704 57782556 77043408 115565112 231130224