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220000520 = 23523237281
BaseRepresentation
bin11010001110011…
…11000100001000
3120022222011222102
431013033010020
5422310004040
633455212532
75310654635
oct1507170410
9508864872
10220000520
11103203713
1261817148
133676aa2c
142130b18c
15144aa515
hexd1cf108

220000520 has 96 divisors (see below), whose sum is σ = 533335320. Its totient is φ = 81607680.

The previous prime is 220000493. The next prime is 220000537. The reversal of 220000520 is 25000022.

It can be written as a sum of positive squares in 4 ways, for example, as 215326276 + 4674244 = 14674^2 + 2162^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 782780 + ... + 783060.

Almost surely, 2220000520 is an apocalyptic number.

220000520 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 220000520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266667660).

220000520 is an abundant number, since it is smaller than the sum of its proper divisors (313334800).

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

220000520 is a wasteful number, since it uses less digits than its factorization.

220000520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 220000520 is about 14832.4145033774. The cubic root of 220000520 is about 603.6815493069.

Adding to 220000520 its reverse (25000022), we get a palindrome (245000542).

The spelling of 220000520 in words is "two hundred twenty million, five hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 23 37 40 46 74 92 115 148 184 185 230 281 296 370 460 529 562 740 851 920 1058 1124 1405 1480 1702 2116 2248 2645 2810 3404 4232 4255 5290 5620 6463 6808 8510 10397 10580 11240 12926 17020 19573 20794 21160 25852 32315 34040 39146 41588 51704 51985 64630 78292 83176 97865 103970 129260 148649 156584 195730 207940 239131 258520 297298 391460 415880 478262 594596 743245 782920 956524 1189192 1195655 1486490 1913048 2391310 2972980 4782620 5500013 5945960 9565240 11000026 22000052 27500065 44000104 55000130 110000260 220000520