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231004224 = 2634114051
BaseRepresentation
bin11011100010011…
…01100001000000
3121002200020020000
431301031201000
5433114113344
634531120000
75503334463
oct1561154100
9532606200
10231004224
11109439990
1265443000
1338b213b9
14229732da
1515430a69
hexdc4d840

231004224 has 140 divisors (see below), whose sum is σ = 747205008. Its totient is φ = 69984000.

The previous prime is 231004181. The next prime is 231004229. The reversal of 231004224 is 422400132.

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 231004197 and 231004206.

It is not an unprimeable number, because it can be changed into a prime (231004229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54999 + ... + 59049.

Almost surely, 2231004224 is an apocalyptic number.

231004224 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 231004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373602504).

231004224 is an abundant number, since it is smaller than the sum of its proper divisors (516200784).

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

231004224 is a wasteful number, since it uses less digits than its factorization.

231004224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4086 (or 4067 counting only the distinct ones).

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

The square root of 231004224 is about 15198.8231123334. The cubic root of 231004224 is about 613.5829838550.

Adding to 231004224 its reverse (422400132), we get a palindrome (653404356).

The spelling of 231004224 in words is "two hundred thirty-one million, four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 264 288 297 324 352 396 432 528 576 594 648 704 792 864 891 1056 1188 1296 1584 1728 1782 2112 2376 2592 3168 3564 4051 4752 5184 6336 7128 8102 9504 12153 14256 16204 19008 24306 28512 32408 36459 44561 48612 57024 64816 72918 89122 97224 109377 129632 133683 145836 178244 194448 218754 259264 267366 291672 328131 356488 388896 401049 437508 534732 583344 656262 712976 777792 802098 875016 1069464 1166688 1203147 1312524 1425952 1604196 1750032 2138928 2333376 2406294 2625048 2851904 3208392 3500064 3609441 4277856 4812588 5250096 6416784 7000128 7218882 8555712 9625176 10500192 12833568 14437764 19250352 21000384 25667136 28875528 38500704 57751056 77001408 115502112 231004224