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220220202000 = 24353139264053
BaseRepresentation
bin1100110100011000100…
…1011001110000010000
3210001102112011101002210
43031012021121300100
512102002332431000
6245100123112120
721624155555151
oct3150611316020
9701375141083
10220220202000
1185438621247
123681b372640
13179c7505446
14a931727928
155add6da350
hex3346259c10

220220202000 has 160 divisors (see below), whose sum is σ = 715100480640. Its totient is φ = 58302681600.

The previous prime is 220220201983. The next prime is 220220202047. The reversal of 220220202000 is 202022022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 701974 + ... + 966026.

It is an arithmetic number, because the mean of its divisors is an integer number (4469378004).

Almost surely, 2220220202000 is an apocalyptic number.

220220202000 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 220220202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357550240320).

220220202000 is an abundant number, since it is smaller than the sum of its proper divisors (494880278640).

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

220220202000 is a wasteful number, since it uses less digits than its factorization.

220220202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264218 (or 264202 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 220220202000 its reverse (202022022), we get a palindrome (220422224022).

The spelling of 220220202000 in words is "two hundred twenty billion, two hundred twenty million, two hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 139 150 200 240 250 278 300 375 400 417 500 556 600 695 750 834 1000 1112 1200 1390 1500 1668 2000 2085 2224 2780 3000 3336 3475 4170 5560 6000 6672 6950 8340 10425 11120 13900 16680 17375 20850 27800 33360 34750 41700 52125 55600 69500 83400 104250 139000 166800 208500 264053 278000 417000 528106 792159 834000 1056212 1320265 1584318 2112424 2640530 3168636 3960795 4224848 5281060 6337272 6601325 7921590 10562120 12674544 13202650 15843180 19803975 21124240 26405300 31686360 33006625 36703367 39607950 52810600 63372720 66013250 73406734 79215900 99019875 105621200 110110101 132026500 146813468 158431800 183516835 198039750 220220202 264053000 293626936 316863600 367033670 396079500 440440404 528106000 550550505 587253872 734067340 792159000 880880808 917584175 1101101010 1468134680 1584318000 1761761616 1835168350 2202202020 2752752525 2936269360 3670336700 4404404040 4587920875 5505505050 7340673400 8808808080 9175841750 11011010100 13763762625 14681346800 18351683500 22022020200 27527525250 36703367000 44044040400 55055050500 73406734000 110110101000 220220202000