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220220212020 = 223553331320903
BaseRepresentation
bin1100110100011000100…
…1011100001100110100
3210001102112011212211220
43031012021130030310
512102002333241040
6245100123230340
721624155626314
oct3150611341464
9701375155756
10220220212020
1185438628826
123681b3783b0
13179c7509b83
14a93172b444
155add6dd2d0
hex334625c334

220220212020 has 96 divisors (see below), whose sum is σ = 628470565632. Its totient is φ = 57597216768.

The previous prime is 220220212019. The next prime is 220220212027. The reversal of 220220212020 is 20212022022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220220212027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10524889 + ... + 10545791.

It is an arithmetic number, because the mean of its divisors is an integer number (6546568392).

Almost surely, 2220220212020 is an apocalyptic number.

220220212020 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 220220212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314235282816).

220220212020 is an abundant number, since it is smaller than the sum of its proper divisors (408250353612).

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

220220212020 is a wasteful number, since it uses less digits than its factorization.

220220212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24281 (or 24279 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 220220212020 its reverse (20212022022), we get a palindrome (240432234042).

The spelling of 220220212020 in words is "two hundred twenty billion, two hundred twenty million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 3313 6626 9939 13252 16565 19878 20903 33130 39756 41806 49695 62709 66260 83612 99390 104515 125418 175589 198780 209030 250836 313545 351178 418060 526767 627090 702356 877945 1053534 1107859 1254180 1755890 2107068 2215718 2633835 3323577 3511780 4431436 5267670 5539295 6647154 10535340 11078590 13294308 16617885 22157180 33235770 66471540 69251639 138503278 207754917 277006556 346258195 415509834 692516390 831019668 1038774585 1385032780 2077549170 3670336867 4155098340 7340673734 11011010601 14681347468 18351684335 22022021202 36703368670 44044042404 55055053005 73406737340 110110106010 220220212020