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224332020 = 2232511137827
BaseRepresentation
bin11010101111100…
…00100011110100
3120122010020200100
431113300203310
5424412111040
634132114100
75362535133
oct1527604364
9518106610
10224332020
111056a1a70
1263165930
1337626453
1421b1791a
1514a63b30
hexd5f08f4

224332020 has 144 divisors (see below), whose sum is σ = 748657728. Its totient is φ = 53921280.

The previous prime is 224332019. The next prime is 224332037. The reversal of 224332020 is 20233422.

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

224332020 is a Rhonda number in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 224331984 and 224332002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270847 + ... + 271673.

It is an arithmetic number, because the mean of its divisors is an integer number (5199012).

Almost surely, 2224332020 is an apocalyptic number.

224332020 is a gapful number since it is divisible by the number (20) 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 224332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374328864).

224332020 is an abundant number, since it is smaller than the sum of its proper divisors (524325708).

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

224332020 is a wasteful number, since it uses less digits than its factorization.

224332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 224332020 is about 14977.7174495983. The cubic root of 224332020 is about 607.6177082285.

Adding to 224332020 its reverse (20233422), we get a palindrome (244565442).

The spelling of 224332020 in words is "two hundred twenty-four million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 137 165 180 198 220 274 330 396 411 495 548 660 685 822 827 990 1233 1370 1507 1644 1654 1980 2055 2466 2481 2740 3014 3308 4110 4135 4521 4932 4962 6028 6165 7443 7535 8220 8270 9042 9097 9924 12330 12405 13563 14886 15070 16540 18084 18194 22605 24660 24810 27126 27291 29772 30140 36388 37215 45210 45485 49620 54252 54582 67815 74430 81873 90420 90970 109164 113299 135630 136455 148860 163746 181940 226598 271260 272910 327492 339897 409365 453196 545820 566495 679794 818730 1019691 1132990 1246289 1359588 1637460 1699485 2039382 2265980 2492578 3398970 3738867 4078764 4985156 5098455 6231445 6797940 7477734 10196910 11216601 12462890 14955468 18694335 20393820 22433202 24925780 37388670 44866404 56083005 74777340 112166010 224332020