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533403220 = 2257217101317
BaseRepresentation
bin11111110010110…
…001011001010100
31101011200200122211
4133302301121110
52043022400340
6124532403204
716134565300
oct3762613124
91334620584
10533403220
11254101809
1212a776504
138667c10c
1450bacd00
1531c655ea
hex1fcb1654

533403220 has 144 divisors (see below), whose sum is σ = 1397732112. Its totient is φ = 169881600.

The previous prime is 533403161. The next prime is 533403229. The reversal of 533403220 is 22304335.

It can be written as a sum of positive squares in 8 ways, for example, as 4955076 + 528448144 = 2226^2 + 22988^2 .

It is a junction number, because it is equal to n+sod(n) for n = 533403191 and 533403200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (533403229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1682502 + ... + 1682818.

It is an arithmetic number, because the mean of its divisors is an integer number (9706473).

Almost surely, 2533403220 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 533403220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698866056).

533403220 is an abundant number, since it is smaller than the sum of its proper divisors (864328892).

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

533403220 is a wasteful number, since it uses less digits than its factorization.

533403220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 533403220 is about 23095.5238087384. The cubic root of 533403220 is about 810.9956865980.

Adding to 533403220 its reverse (22304335), we get a palindrome (555707555).

The spelling of 533403220 in words is "five hundred thirty-three million, four hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 101 119 140 170 196 202 238 245 317 340 404 476 490 505 595 634 707 833 980 1010 1190 1268 1414 1585 1666 1717 2020 2219 2380 2828 3170 3332 3434 3535 4165 4438 4949 5389 6340 6868 7070 8330 8585 8876 9898 10778 11095 12019 14140 15533 16660 17170 19796 21556 22190 24038 24745 26945 31066 32017 34340 37723 44380 48076 49490 53890 60095 62132 64034 75446 77665 84133 98980 107780 120190 128068 150892 155330 160085 168266 188615 224119 240380 264061 310660 320170 336532 377230 420665 448238 528122 544289 640340 754460 841330 896476 1056244 1088578 1120595 1320305 1568833 1682660 2177156 2241190 2640610 2721445 3137666 3810023 4482380 5281220 5442890 6275332 7620046 7844165 10885780 15240092 15688330 19050115 26670161 31376660 38100230 53340322 76200460 106680644 133350805 266701610 533403220