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231024024 = 233272115953
BaseRepresentation
bin11011100010100…
…10010110011000
3121002201020101100
431301102112120
5433120232044
634531351400
75503446300
oct1561222630
9532636340
10231024024
11109452850
1265452560
1338b2a40a
142297a600
1515436869
hexdc52598

231024024 has 144 divisors (see below), whose sum is σ = 794144520. Its totient is φ = 59996160.

The previous prime is 231024007. The next prime is 231024037. The reversal of 231024024 is 420420132.

231024024 = T37 + T38 + ... + T1114.

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 = 231023988 and 231024006.

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 35 ways as a sum of consecutive naturals, for example, 35832 + ... + 41784.

Almost surely, 2231024024 is an apocalyptic number.

231024024 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 231024024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397072260).

231024024 is an abundant number, since it is smaller than the sum of its proper divisors (563120496).

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

231024024 is a wasteful number, since it uses less digits than its factorization.

231024024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5990 (or 5976 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 231024024 is about 15199.4744645991. The cubic root of 231024024 is about 613.6005139760.

Adding to 231024024 its reverse (420420132), we get a palindrome (651444156).

The spelling of 231024024 in words is "two hundred thirty-one million, twenty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 49 56 63 66 72 77 84 88 98 99 126 132 147 154 168 196 198 231 252 264 294 308 392 396 441 462 504 539 588 616 693 792 882 924 1078 1176 1386 1617 1764 1848 2156 2772 3234 3528 4312 4851 5544 5953 6468 9702 11906 12936 17859 19404 23812 35718 38808 41671 47624 53577 65483 71436 83342 107154 125013 130966 142872 166684 196449 214308 250026 261932 291697 333368 375039 392898 428616 458381 500052 523864 583394 589347 750078 785796 875091 916762 1000104 1166788 1178694 1375143 1500156 1571592 1750182 1833524 2333576 2357388 2625273 2750286 3000312 3208667 3500364 3667048 4125429 4714776 5250546 5500572 6417334 7000728 8250858 9626001 10501092 11001144 12834668 16501716 19252002 21002184 25669336 28878003 33003432 38504004 57756006 77008008 115512012 231024024