Search a number
-
+
2022001012220 = 225729735416007
BaseRepresentation
bin11101011011001000101…
…001101110110111111100
321011022010201122001221112
4131123020221232313330
5231112024224342340
64144521111021152
7266041033010600
oct35331051566774
97138121561845
102022001012220
1170a586948a12
12287a6406a7b8
1311889b67bcb7
146dc18815500
15378e475b065
hex1d6c8a6edfc

2022001012220 has 144 divisors (see below), whose sum is σ = 4992622189632. Its totient is φ = 685802557440.

The previous prime is 2022001012189. The next prime is 2022001012231. The reversal of 2022001012220 is 222101002202.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2022001012195 and 2022001012204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336604457 + ... + 336610463.

It is an arithmetic number, because the mean of its divisors is an integer number (34670987428).

Almost surely, 22022001012220 is an apocalyptic number.

2022001012220 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 2022001012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496311094816).

2022001012220 is an abundant number, since it is smaller than the sum of its proper divisors (2970621177412).

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

2022001012220 is a wasteful number, since it uses less digits than its factorization.

2022001012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9668 (or 9659 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2022001012220 its reverse (222101002202), we get a palindrome (2244102014422).

The spelling of 2022001012220 in words is "two trillion, twenty-two billion, one million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 97 98 140 194 196 245 388 485 490 679 970 980 1358 1940 2716 3395 3541 4753 6007 6790 7082 9506 12014 13580 14164 17705 19012 23765 24028 24787 30035 35410 42049 47530 49574 60070 70820 84098 95060 99148 120140 123935 168196 173509 210245 247870 294343 343477 347018 420490 495740 582679 588686 686954 694036 840980 867545 1165358 1177372 1373908 1471715 1717385 1735090 2330716 2404339 2913395 2943430 3434770 3470180 4078753 4808678 5826790 5886860 6869540 8157506 9617356 11653580 12021695 16315012 16830373 20393765 21270787 24043390 28551271 33660746 40787530 42541574 48086780 57102542 67321492 81575060 84151865 85083148 106353935 114205084 142756355 148895509 168303730 212707870 285512710 297791018 336607460 425415740 571025420 595582036 744477545 1042268563 1488955090 2063266339 2084537126 2977910180 4126532678 4169074252 5211342815 8253065356 10316331695 10422685630 14442864373 20632663390 20845371260 28885728746 41265326780 57771457492 72214321865 101100050611 144428643730 202200101222 288857287460 404400202444 505500253055 1011000506110 2022001012220