Search a number
-
+
2201113420 = 2251121753503
BaseRepresentation
bin1000001100110010…
…0101001101001100
312200101210010222021
42003030211031030
514001441112140
61002225255524
7105355104202
oct20314451514
95611703867
102201113420
11a2a520100
125151945a4
1329103139c
1416c48b072
15cd38bb4a
hex8332534c

2201113420 has 72 divisors (see below), whose sum is σ = 5379720192. Its totient is φ = 753308160.

The previous prime is 2201113391. The next prime is 2201113423. The reversal of 2201113420 is 243111022.

It is a junction number, because it is equal to n+sod(n) for n = 2201113394 and 2201113403.

It is not an unprimeable number, because it can be changed into a prime (2201113423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14389 + ... + 67891.

It is an arithmetic number, because the mean of its divisors is an integer number (74718336).

Almost surely, 22201113420 is an apocalyptic number.

2201113420 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 2201113420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2689860096).

2201113420 is an abundant number, since it is smaller than the sum of its proper divisors (3178606772).

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

2201113420 is a wasteful number, since it uses less digits than its factorization.

2201113420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53551 (or 53538 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2201113420 is about 46916.0251939569. The cubic root of 2201113420 is about 1300.8108196244.

Adding to 2201113420 its reverse (243111022), we get a palindrome (2444224442).

The spelling of 2201113420 in words is "two billion, two hundred one million, one hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 121 170 187 220 242 340 374 484 605 748 935 1210 1870 2057 2420 3740 4114 8228 10285 20570 41140 53503 107006 214012 267515 535030 588533 909551 1070060 1177066 1819102 2354132 2942665 3638204 4547755 5885330 6473863 9095510 10005061 11770660 12947726 18191020 20010122 25895452 32369315 40020244 50025305 64738630 100050610 110055671 129477260 200101220 220111342 440222684 550278355 1100556710 2201113420