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532521220 = 22573117057
BaseRepresentation
bin11111101111011…
…010000100000100
31101010000212210011
4133233122010010
52042311134340
6124501440004
716124233000
oct3757320404
91333025704
10532521220
1125365a090
1212a410004
138643081a
1450a1d700
1531b3e0ea
hex1fbda104

532521220 has 96 divisors (see below), whose sum is σ = 1422892800. Its totient is φ = 165957120.

The previous prime is 532521211. The next prime is 532521221. The reversal of 532521220 is 22125235.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 532521191 and 532521200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532521221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71932 + ... + 78988.

It is an arithmetic number, because the mean of its divisors is an integer number (14821800).

Almost surely, 2532521220 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 532521220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711446400).

532521220 is an abundant number, since it is smaller than the sum of its proper divisors (890371580).

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

532521220 is a wasteful number, since it uses less digits than its factorization.

532521220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7098 (or 7082 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 532521220 is about 23076.4212996730. The cubic root of 532521220 is about 810.5484371953.

Adding to 532521220 its reverse (22125235), we get a palindrome (554646455).

The spelling of 532521220 in words is "five hundred thirty-two million, five hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 343 385 490 539 686 770 980 1078 1372 1540 1715 2156 2695 3430 3773 5390 6860 7057 7546 10780 14114 15092 18865 28228 35285 37730 49399 70570 75460 77627 98798 141140 155254 197596 246995 310508 345793 388135 493990 543389 691586 776270 987980 1086778 1383172 1552540 1728965 2173556 2420551 2716945 3457930 3803723 4841102 5433890 6915860 7607446 9682204 10867780 12102755 15214892 19018615 24205510 26626061 38037230 48411020 53252122 76074460 106504244 133130305 266260610 532521220