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220220020 = 22541271991
BaseRepresentation
bin11010010000001…
…00101001110100
3120100101100002001
431020010221310
5422334020040
633504025044
75312560606
oct1510045164
9510340061
10220220020
11103343619
1261902184
1336816907
1421367176
151450059a
hexd204a74

220220020 has 48 divisors (see below), whose sum is σ = 475969536. Its totient is φ = 85536000.

The previous prime is 220219991. The next prime is 220220053. The reversal of 220220020 is 20022022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 220219979 and 220220006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221725 + ... + 222715.

It is an arithmetic number, because the mean of its divisors is an integer number (9916032).

Almost surely, 2220220020 is an apocalyptic number.

220220020 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 220220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237984768).

220220020 is an abundant number, since it is smaller than the sum of its proper divisors (255749516).

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

220220020 is a wasteful number, since it uses less digits than its factorization.

220220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 220220020 is about 14839.8119934182. The cubic root of 220220020 is about 603.8822519471.

Adding to 220220020 its reverse (20022022), we get a palindrome (240242042).

It can be divided in two parts, 2202 and 20020, that added together give a palindrome (22222).

The spelling of 220220020 in words is "two hundred twenty million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 271 410 542 820 991 1084 1355 1982 2710 3964 4955 5420 9910 11111 19820 22222 40631 44444 55555 81262 111110 162524 203155 222220 268561 406310 537122 812620 1074244 1342805 2685610 5371220 11011001 22022002 44044004 55055005 110110010 220220020