Search a number
-
+
220220120000 = 265417930757
BaseRepresentation
bin1100110100011000100…
…1000101101111000000
3210001102112000012121202
43031012021011233000
512102002322320000
6245100121240332
721624155064116
oct3150611055700
9701375005552
10220220120000
1185438575681
123681b3330a8
13179c74a701a
14a931705ab6
155add6c0dd5
hex3346245bc0

220220120000 has 140 divisors (see below), whose sum is σ = 549142874280. Its totient is φ = 87593088000.

The previous prime is 220220119993. The next prime is 220220120023. The reversal of 220220120000 is 21022022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7144622 + ... + 7175378.

It is an arithmetic number, because the mean of its divisors is an integer number (3922449102).

Almost surely, 2220220120000 is an apocalyptic number.

220220120000 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 220220120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274571437140).

220220120000 is an abundant number, since it is smaller than the sum of its proper divisors (328922754280).

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

220220120000 is an equidigital number, since it uses as much as digits as its factorization.

220220120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30968 (or 30943 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 220220120000 its reverse (21022022), we get a palindrome (220241142022).

The spelling of 220220120000 in words is "two hundred twenty billion, two hundred twenty million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 179 200 250 320 358 400 500 625 716 800 895 1000 1250 1432 1600 1790 2000 2500 2864 3580 4000 4475 5000 5728 7160 8000 8950 10000 11456 14320 17900 20000 22375 28640 30757 35800 40000 44750 57280 61514 71600 89500 111875 123028 143200 153785 179000 223750 246056 286400 307570 358000 447500 492112 615140 716000 768925 895000 984224 1230280 1432000 1537850 1790000 1968448 2460560 3075700 3580000 3844625 4921120 5505503 6151400 7160000 7689250 9842240 11011006 12302800 15378500 19223125 22022012 24605600 27527515 30757000 38446250 44044024 49211200 55055030 61514000 76892500 88088048 110110060 123028000 137637575 153785000 176176096 220220120 246056000 275275150 307570000 352352192 440440240 550550300 615140000 688187875 880880480 1101100600 1230280000 1376375750 1761760960 2202201200 2752751500 3440939375 4404402400 5505503000 6881878750 8808804800 11011006000 13763757500 22022012000 27527515000 44044024000 55055030000 110110060000 220220120000