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220221443000 = 23531334948539
BaseRepresentation
bin1100110100011000111…
…0001000101110111000
3210001102121111102102202
43031012032020232320
512102003142134000
6245100205445332
721624202244216
oct3150616105670
9701377442382
10220221443000
1185439299669
123681b870848
13179c784b270
14a93196bcb6
155add882dd5
hex3346388bb8

220221443000 has 128 divisors (see below), whose sum is σ = 556559640000. Its totient is φ = 81077875200.

The previous prime is 220221442949. The next prime is 220221443009. The reversal of 220221443000 is 344122022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220221443009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4512731 + ... + 4561269.

Almost surely, 2220221443000 is an apocalyptic number.

220221443000 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 220221443000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278279820000).

220221443000 is an abundant number, since it is smaller than the sum of its proper divisors (336338197000).

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

220221443000 is a wasteful number, since it uses less digits than its factorization.

220221443000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48922 (or 48908 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 220221443000 its reverse (344122022), we get a palindrome (220565565022).

The spelling of 220221443000 in words is "two hundred twenty billion, two hundred twenty-one million, four hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 349 500 520 650 698 1000 1300 1396 1625 1745 2600 2792 3250 3490 4537 6500 6980 8725 9074 13000 13960 17450 18148 22685 34900 36296 43625 45370 48539 69800 87250 90740 97078 113425 174500 181480 194156 226850 242695 349000 388312 453700 485390 567125 631007 907400 970780 1134250 1213475 1262014 1941560 2268500 2426950 2524028 3155035 4537000 4853900 5048056 6067375 6310070 9707800 12134750 12620140 15775175 16940111 24269500 25240280 31550350 33880222 48539000 63100700 67760444 78875875 84700555 126201400 135520888 157751750 169401110 220221443 315503500 338802220 423502775 440442886 631007000 677604440 847005550 880885772 1101107215 1694011100 1761771544 2117513875 2202214430 3388022200 4235027750 4404428860 5505536075 8470055500 8808857720 11011072150 16940111000 22022144300 27527680375 44044288600 55055360750 110110721500 220221443000