Search a number
-
+
2201122220 = 2251145721893
BaseRepresentation
bin1000001100110010…
…0111010110101100
312200101210121001012
42003030213112230
514001441402340
61002225404352
7105355141643
oct20314472654
95611717035
102201122220
11a2a526780
125151996b8
132910353ab
1416c49035a
15cd38e565
hex833275ac

2201122220 has 48 divisors (see below), whose sum is σ = 5053835808. Its totient is φ = 798620160.

The previous prime is 2201122219. The next prime is 2201122229. The reversal of 2201122220 is 222211022.

It is a junction number, because it is equal to n+sod(n) for n = 2201122195 and 2201122204.

It is not an unprimeable number, because it can be changed into a prime (2201122229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89594 + ... + 111486.

It is an arithmetic number, because the mean of its divisors is an integer number (105288246).

Almost surely, 22201122220 is an apocalyptic number.

2201122220 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 2201122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526917904).

2201122220 is an abundant number, since it is smaller than the sum of its proper divisors (2852713588).

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

2201122220 is a wasteful number, since it uses less digits than its factorization.

2201122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22370 (or 22368 counting only the distinct ones).

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

The square root of 2201122220 is about 46916.1189784492. The cubic root of 2201122220 is about 1300.8125531592.

Adding to 2201122220 its reverse (222211022), we get a palindrome (2423333242).

It can be divided in two parts, 2201 and 122220, that added together give a palindrome (124421).

The spelling of 2201122220 in words is "two billion, two hundred one million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 457 914 1828 2285 4570 5027 9140 10054 20108 21893 25135 43786 50270 87572 100540 109465 218930 240823 437860 481646 963292 1204115 2408230 4816460 10005101 20010202 40020404 50025505 100051010 110056111 200102020 220112222 440224444 550280555 1100561110 2201122220