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30331224 = 23327115471
BaseRepresentation
bin111001110110…
…1000101011000
32010001222121200
41303231011120
530231044344
63002034200
7515545140
oct163550530
963058550
1030331224
1116137330
12a1a8960
13638c991
144057920
1529e2069
hex1ced158

30331224 has 96 divisors (see below), whose sum is σ = 102435840. Its totient is φ = 7876800.

The previous prime is 30331207. The next prime is 30331243. The reversal of 30331224 is 42213303.

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 = 30331197 and 30331206.

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, 2809 + ... + 8279.

It is an arithmetic number, because the mean of its divisors is an integer number (1067040).

Almost surely, 230331224 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 30331224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51217920).

30331224 is an abundant number, since it is smaller than the sum of its proper divisors (72104616).

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

30331224 is a wasteful number, since it uses less digits than its factorization.

30331224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5501 (or 5494 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 30331224 is about 5507.3790499656. The cubic root of 30331224 is about 311.8626120945.

Adding to 30331224 its reverse (42213303), we get a palindrome (72544527).

The spelling of 30331224 in words is "thirty million, three hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5471 5544 10942 16413 21884 32826 38297 43768 49239 60181 65652 76594 98478 114891 120362 131304 153188 180543 196956 229782 240724 306376 344673 361086 393912 421267 459564 481448 541629 689346 722172 842534 919128 1083258 1263801 1378692 1444344 1685068 2166516 2527602 2757384 3370136 3791403 4333032 5055204 7582806 10110408 15165612 30331224