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220530200 = 235211591699
BaseRepresentation
bin11010010010100…
…00011000011000
3120100222002120012
431021100120120
5422423431300
633514421052
75315322122
oct1511203030
9510862505
10220530200
11103535670
1261a31788
13368c4b57
1421408212
1514562435
hexd250618

220530200 has 96 divisors (see below), whose sum is σ = 569160000. Its totient is φ = 78787200.

The previous prime is 220530197. The next prime is 220530209. The reversal of 220530200 is 2035022.

It is a super-2 number, since 2×2205302002 = 97267138224080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220530209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128951 + ... + 130649.

It is an arithmetic number, because the mean of its divisors is an integer number (5928750).

Almost surely, 2220530200 is an apocalyptic number.

220530200 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 220530200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284580000).

220530200 is an abundant number, since it is smaller than the sum of its proper divisors (348629800).

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

220530200 is a wasteful number, since it uses less digits than its factorization.

220530200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 220530200 is about 14850.2592569962. The cubic root of 220530200 is about 604.1656417475.

Adding to 220530200 its reverse (2035022), we get a palindrome (222565222).

The spelling of 220530200 in words is "two hundred twenty million, five hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 59 88 100 110 118 200 220 236 275 295 440 472 550 590 649 1100 1180 1298 1475 1699 2200 2360 2596 2950 3245 3398 5192 5900 6490 6796 8495 11800 12980 13592 16225 16990 18689 25960 32450 33980 37378 42475 64900 67960 74756 84950 93445 100241 129800 149512 169900 186890 200482 339800 373780 400964 467225 501205 747560 801928 934450 1002410 1102651 1868900 2004820 2205302 2506025 3737800 4009640 4410604 5012050 5513255 8821208 10024100 11026510 20048200 22053020 27566275 44106040 55132550 110265100 220530200