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220320220 = 225233311447
BaseRepresentation
bin11010010000111…
…01000111011100
3120100120102112011
431020131013130
5422400221340
633510121004
75313456001
oct1510350734
9510512464
10220320220
1110340192a
1261950164
13368503c3
14213918a8
15145200ea
hexd21d1dc

220320220 has 48 divisors (see below), whose sum is σ = 484581888. Its totient is φ = 83983680.

The previous prime is 220320203. The next prime is 220320223. The reversal of 220320220 is 22023022.

220320220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 220320220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220320223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151537 + ... + 152983.

It is an arithmetic number, because the mean of its divisors is an integer number (10095456).

Almost surely, 2220320220 is an apocalyptic number.

220320220 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 220320220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242290944).

220320220 is an abundant number, since it is smaller than the sum of its proper divisors (264261668).

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

220320220 is a wasteful number, since it uses less digits than its factorization.

220320220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 220320220 is about 14843.1876630325. The cubic root of 220320220 is about 603.9738267681.

Adding to 220320220 its reverse (22023022), we get a palindrome (242343242).

The spelling of 220320220 in words is "two hundred twenty million, three hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 331 460 662 1324 1447 1655 2894 3310 5788 6620 7235 7613 14470 15226 28940 30452 33281 38065 66562 76130 133124 152260 166405 332810 478957 665620 957914 1915828 2394785 4789570 9579140 11016011 22032022 44064044 55080055 110160110 220320220