Search a number
-
+
2212102200220 = 2251147448147743
BaseRepresentation
bin100000001100001011100…
…100001101101110011100
321211110211012120000011021
4200030023210031232130
5242220341130401340
64412120431133524
7315550645313443
oct40141344155634
97743735500137
102212102200220
11783169028150
122b88786742a4
131307a5c4c163
14790cdd93d5a
153c81db5de4a
hex2030b90db9c

2212102200220 has 96 divisors (see below), whose sum is σ = 5176812404736. Its totient is φ = 787093708800.

The previous prime is 2212102200199. The next prime is 2212102200227. The reversal of 2212102200220 is 220022012122.

It is a super-2 number, since 2×22121022002202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2212102200194 and 2212102200203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212102200227) 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, 46309669 + ... + 46357411.

It is an arithmetic number, because the mean of its divisors is an integer number (53925129216).

Almost surely, 22212102200220 is an apocalyptic number.

2212102200220 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 2212102200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588406202368).

2212102200220 is an abundant number, since it is smaller than the sum of its proper divisors (2964710204516).

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

2212102200220 is a wasteful number, since it uses less digits than its factorization.

2212102200220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52291 (or 52289 counting only the distinct ones).

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

Adding to 2212102200220 its reverse (220022012122), we get a palindrome (2432124212342).

The spelling of 2212102200220 in words is "two trillion, two hundred twelve billion, one hundred two million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 2068 2585 4481 5170 8962 10340 17924 22405 44810 47743 49291 89620 95486 98582 190972 197164 210607 238715 246455 421214 477430 492910 525173 842428 954860 985820 1050346 1053035 2100692 2106070 2243921 2316677 2625865 4212140 4487842 4633354 5251730 8975684 9266708 10503460 11219605 11583385 22439210 23166770 24683131 44878420 46333540 49366262 98732524 123415655 213936383 246831310 427872766 493662620 855745532 1069681915 2139363830 2353300213 4278727660 4706600426 9413200852 10055010001 11766501065 20110020002 23533002130 40220040004 47066004260 50275050005 100550100010 110605110011 201100200020 221210220022 442420440044 553025550055 1106051100110 2212102200220