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2220210001212 = 22372179191110441
BaseRepresentation
bin100000010011101110110…
…101000001010100111100
321212020202020210222012220
4200103232311001110330
5242333442230014322
64415541141325340
7316255605426300
oct40235665012474
97766666728186
102220210001212
11786649735025
122ba35ba06850
13131498907738
147965cabdd00
153cb4585055c
hex204eed4153c

2220210001212 has 144 divisors (see below), whose sum is σ = 6091733329920. Its totient is φ = 627493574400.

The previous prime is 2220210001193. The next prime is 2220210001267. The reversal of 2220210001212 is 2121000120222.

It is a junction number, because it is equal to n+sod(n) for n = 2220210001191 and 2220210001200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20047912 + ... + 20158352.

It is an arithmetic number, because the mean of its divisors is an integer number (42303703680).

Almost surely, 22220210001212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220210001212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045866664960).

2220210001212 is an abundant number, since it is smaller than the sum of its proper divisors (3871523328708).

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

2220210001212 is a wasteful number, since it uses less digits than its factorization.

2220210001212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110832 (or 110823 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2220210001212 its reverse (2121000120222), we get a palindrome (4341210121434).

The spelling of 2220210001212 in words is "two trillion, two hundred twenty billion, two hundred ten million, one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 179 191 196 294 358 382 537 573 588 716 764 1074 1146 1253 1337 2148 2292 2506 2674 3759 4011 5012 5348 7518 8022 8771 9359 15036 16044 17542 18718 26313 28077 34189 35084 37436 52626 56154 68378 102567 105252 110441 112308 136756 205134 220882 239323 331323 410268 441764 478646 662646 717969 773087 957292 1325292 1435938 1546174 1675261 2319261 2871876 3092348 3350522 4638522 5025783 5411609 6701044 9277044 10051566 10823218 16234827 19768939 20103132 21094231 21646436 32469654 39537878 42188462 59306817 63282693 64939308 79075756 84376924 118613634 126565386 138382573 147659617 237227268 253130772 276765146 295319234 415147719 442978851 553530292 590638468 830295438 885957702 968678011 1033617319 1660590876 1771915404 1937356022 2067234638 2906034033 3100851957 3775867349 3874712044 4134469276 5812068066 6201703914 7551734698 11327602047 11624136132 12403407828 15103469396 22655204094 26431071443 45310408188 52862142886 79293214329 105724285772 158586428658 185017500101 317172857316 370035000202 555052500303 740070000404 1110105000606 2220210001212