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2220945036680 = 2353113722757593
BaseRepresentation
bin100000010100011010101…
…000111101010110001000
321212022122110220122022202
4200110122220331112020
5242341443412133210
64420142115535332
7316313042220656
oct40243250752610
97768573818282
102220945036680
11786996634057
122ba525bba548
13131584c92a76
14796cc577dd6
153cb8a1439a5
hex2051aa3d588

2220945036680 has 128 divisors (see below), whose sum is σ = 5218956334080. Its totient is φ = 849670901760.

The previous prime is 2220945036659. The next prime is 2220945036689. The reversal of 2220945036680 is 866305490222.

It is not an unprimeable number, because it can be changed into a prime (2220945036689) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 38533964 + ... + 38591556.

It is an arithmetic number, because the mean of its divisors is an integer number (40773096360).

Almost surely, 22220945036680 is an apocalyptic number.

2220945036680 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 2220945036680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609478167040).

2220945036680 is an abundant number, since it is smaller than the sum of its proper divisors (2998011297400).

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

2220945036680 is a wasteful number, since it uses less digits than its factorization.

2220945036680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57999 (or 57995 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 47.

The spelling of 2220945036680 in words is "two trillion, two hundred twenty billion, nine hundred forty-five million, thirty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 137 155 227 248 274 310 454 548 620 685 908 1096 1135 1240 1370 1816 2270 2740 4247 4540 5480 7037 8494 9080 14074 16988 21235 28148 31099 33976 35185 42470 56296 57593 62198 70370 84940 115186 124396 140740 155495 169880 230372 248792 281480 287965 310990 460744 575930 621980 964069 1151860 1243960 1785383 1928138 2303720 3570766 3856276 4820345 7141532 7712552 7890241 8926915 9640690 13073611 14283064 15780482 17853830 19281380 26147222 31560964 35707660 38562760 39451205 52294444 63121928 65368055 71415320 78902410 104588888 130736110 157804820 244597471 261472220 315609640 405281941 489194942 522944440 810563882 978389884 1222987355 1621127764 1791084707 1956779768 2026409705 2445974710 3242255528 3582169414 4052819410 4891949420 7164338828 8105638820 8955423535 9783898840 14328677656 16211277640 17910847070 35821694140 55523625917 71643388280 111047251834 222094503668 277618129585 444189007336 555236259170 1110472518340 2220945036680