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220371130420 = 22574179485977
BaseRepresentation
bin1100110100111100100…
…1001001100000110100
3210001211001011022222021
43031033021021200310
512102310002133140
6245123114042524
721631000462540
oct3151711114064
9701731138867
10220371130420
1185505837a81
1236861a19444
1317a1c86aabc
14a9477b4a20
155aeba9eb4a
hex334f249834

220371130420 has 96 divisors (see below), whose sum is σ = 548649722880. Its totient is φ = 72779765760.

The previous prime is 220371130411. The next prime is 220371130423. The reversal of 220371130420 is 24031173022.

It is a happy number.

220371130420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220371130423) 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, 210472 + ... + 696448.

It is an arithmetic number, because the mean of its divisors is an integer number (5715101280).

Almost surely, 2220371130420 is an apocalyptic number.

220371130420 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 220371130420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274324861440).

220371130420 is an abundant number, since it is smaller than the sum of its proper divisors (328278592460).

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

220371130420 is a wasteful number, since it uses less digits than its factorization.

220371130420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486113 (or 486111 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The spelling of 220371130420 in words is "two hundred twenty billion, three hundred seventy-one million, one hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 79 82 140 158 164 205 287 316 395 410 553 574 790 820 1106 1148 1435 1580 2212 2765 2870 3239 5530 5740 6478 11060 12956 16195 22673 32390 45346 64780 90692 113365 226730 453460 485977 971954 1943908 2429885 3401839 4859770 6803678 9719540 13607356 17009195 19925057 34018390 38392183 39850114 68036780 76784366 79700228 99625285 139475399 153568732 191960915 199250570 268745281 278950798 383921830 398501140 537490562 557901596 697376995 767843660 1074981124 1343726405 1394753990 1574079503 2687452810 2789507980 3148159006 5374905620 6296318012 7870397515 11018556521 15740795030 22037113042 31481590060 44074226084 55092782605 110185565210 220371130420