Search a number
-
+
2220111223212 = 2231753317647753
BaseRepresentation
bin100000010011101000111…
…100001101100110101100
321212020111100221112021110
4200103220330031212230
5242333241433120322
64415523252232020
7316253266013631
oct40235074154654
97766440845243
102220111223212
117865a89a8713
122ba33290b610
1313148130120c
147964d92a188
153cb3bd3cc0c
hex204e8f0d9ac

2220111223212 has 96 divisors (see below), whose sum is σ = 5606108770752. Its totient is φ = 681207095296.

The previous prime is 2220111223181. The next prime is 2220111223219. The reversal of 2220111223212 is 2123221110222.

It is not an unprimeable number, because it can be changed into a prime (2220111223219) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3103528 + ... + 3751280.

It is an arithmetic number, because the mean of its divisors is an integer number (58396966362).

Almost surely, 22220111223212 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 2220111223212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803054385376).

2220111223212 is an abundant number, since it is smaller than the sum of its proper divisors (3385997547540).

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

2220111223212 is a wasteful number, since it uses less digits than its factorization.

2220111223212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648147 (or 648145 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 2220111223212 its reverse (2123221110222), we get a palindrome (4343332333434).

The spelling of 2220111223212 in words is "two trillion, two hundred twenty billion, one hundred eleven million, two hundred twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 53 68 102 106 159 204 212 317 318 634 636 901 951 1268 1802 1902 2703 3604 3804 5389 5406 10778 10812 16167 16801 21556 32334 33602 50403 64668 67204 100806 201612 285617 571234 647753 856851 1142468 1295506 1713702 1943259 2591012 3427404 3886518 7773036 11011801 22023602 33035403 34330909 44047204 66070806 68661818 102992727 132141612 137323636 205337701 205985454 410675402 411970908 583625453 616013103 821350804 1167250906 1232026206 1750876359 2334501812 2464052412 3490740917 3501752718 6981481834 7003505436 10472222751 10882898153 13962963668 20944445502 21765796306 32648694459 41888891004 43531592612 65297388918 130594777836 185009268601 370018537202 555027805803 740037074404 1110055611606 2220111223212