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220222221100 = 2252717100918341
BaseRepresentation
bin1100110100011001000…
…1000110101100101100
3210001102122221221210021
43031012101012230230
512102003342033400
6245100234251524
721624211664560
oct3150621065454
9701378857707
10220222221100
1185439780222
123681bb86ba4
13179c7a6148b
14a931ad16a0
155add98871a
hex3346446b2c

220222221100 has 144 divisors (see below), whose sum is σ = 578882324160. Its totient is φ = 70989004800.

The previous prime is 220222221053. The next prime is 220222221133. The reversal of 220222221100 is 1122222022.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11997930 + ... + 12016270.

It is an arithmetic number, because the mean of its divisors is an integer number (4020016140).

Almost surely, 2220222221100 is an apocalyptic number.

220222221100 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 220222221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289441162080).

220222221100 is an abundant number, since it is smaller than the sum of its proper divisors (358660103060).

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

220222221100 is a wasteful number, since it uses less digits than its factorization.

220222221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19388 (or 19381 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 220222221100 its reverse (1122222022), we get a palindrome (221344443122).

The spelling of 220222221100 in words is "two hundred twenty billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 476 595 700 850 1009 1190 1700 2018 2380 2975 4036 5045 5950 7063 10090 11900 14126 17153 18341 20180 25225 28252 34306 35315 36682 50450 68612 70630 73364 85765 91705 100900 120071 128387 141260 171530 176575 183410 240142 256774 311797 343060 353150 366820 428825 458525 480284 513548 600355 623594 641935 706300 857650 917050 1200710 1247188 1283870 1558985 1715300 1834100 2182579 2401420 2567740 3001775 3117970 3209675 4365158 6003550 6235940 6419350 7794925 8730316 10912895 12007100 12838700 15589850 18506069 21825790 31179700 37012138 43651580 54564475 74024276 92530345 109128950 129542483 185060690 218257900 259084966 314603173 370121380 462651725 518169932 629206346 647712415 925303450 1258412692 1295424830 1573015865 1850606900 2202222211 2590849660 3146031730 3238562075 4404444422 6292063460 6477124150 7865079325 8808888844 11011111055 12954248300 15730158650 22022222110 31460317300 44044444220 55055555275 110111110550 220222221100