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220000220 = 225111019901
BaseRepresentation
bin11010001110011…
…10111111011100
3120022222011120022
431013032333130
5422310001340
633455211312
75310654026
oct1507167734
9508864508
10220000220
11103203470
1261816b38
133676a85b
142130b016
15144aa3b5
hexd1cefdc

220000220 has 48 divisors (see below), whose sum is σ = 509042016. Its totient is φ = 79200000.

The previous prime is 220000201. The next prime is 220000237. The reversal of 220000220 is 22000022.

It is a junction number, because it is equal to n+sod(n) for n = 220000198 and 220000207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17270 + ... + 27170.

It is an arithmetic number, because the mean of its divisors is an integer number (10605042).

Almost surely, 2220000220 is an apocalyptic number.

220000220 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 220000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254521008).

220000220 is an abundant number, since it is smaller than the sum of its proper divisors (289041796).

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

220000220 is a wasteful number, since it uses less digits than its factorization.

220000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10022 (or 10020 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 220000220 is about 14832.4043903880. The cubic root of 220000220 is about 603.6812749067.

Adding to 220000220 its reverse (22000022), we get a palindrome (242000242).

It can be divided in two parts, 2200002 and 20, that added together give a palindrome (2200022).

The spelling of 220000220 in words is "two hundred twenty million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 9901 11110 19802 22220 39604 49505 99010 108911 198020 217822 435644 544555 1000001 1089110 2000002 2178220 4000004 5000005 10000010 11000011 20000020 22000022 44000044 55000055 110000110 220000220