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220220202020 = 225713393130781
BaseRepresentation
bin1100110100011000100…
…1011001110000100100
3210001102112011101010112
43031012021121300210
512102002332431040
6245100123112152
721624155555210
oct3150611316044
9701375141115
10220220202020
1185438621265
123681b372658
13179c7505460
14a931727940
155add6da365
hex3346259c24

220220202020 has 96 divisors (see below), whose sum is σ = 569347812096. Its totient is φ = 69676070400.

The previous prime is 220220201983. The next prime is 220220202047. The reversal of 220220202020 is 20202022022.

It is a happy number.

It is a super-2 number, since 2×2202202020202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 220220201986 and 220220202004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7139030 + ... + 7169810.

It is an arithmetic number, because the mean of its divisors is an integer number (5930706376).

Almost surely, 2220220202020 is an apocalyptic number.

220220202020 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 220220202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284673906048).

220220202020 is an abundant number, since it is smaller than the sum of its proper divisors (349127610076).

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

220220202020 is a wasteful number, since it uses less digits than its factorization.

220220202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34741 (or 34739 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 220220202020 its reverse (20202022022), we get a palindrome (240422224042).

The spelling of 220220202020 in words is "two hundred twenty billion, two hundred twenty million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 3931 7862 15724 19655 27517 30781 39310 51103 55034 61562 78620 102206 110068 123124 137585 153905 204412 215467 255515 275170 307810 357721 400153 430934 511030 550340 615620 715442 800306 861868 1022060 1077335 1430884 1600612 1788605 2000765 2154670 2801071 3577210 4001530 4309340 5602142 7154420 8003060 11204284 14005355 28010710 56021420 121000111 242000222 484000444 605000555 847000777 1210001110 1573001443 1694001554 2420002220 3146002886 3388003108 4235003885 6292005772 7865007215 8470007770 11011010101 15730014430 16940015540 22022020202 31460028860 44044040404 55055050505 110110101010 220220202020