Search a number
-
+
2222113300 = 2252112637681
BaseRepresentation
bin1000010001110010…
…1100001000010100
312201212022001101121
42010130230020110
514022330111200
61004255333324
7106031436301
oct20434541024
95655261347
102222113300
11a40363680
12520221244
132954a4954
141711960a8
15d0138e1a
hex8472c214

2222113300 has 72 divisors (see below), whose sum is σ = 5281036992. Its totient is φ = 804864000.

The previous prime is 2222113273. The next prime is 2222113319. The reversal of 2222113300 is 33112222.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285460 + ... + 293140.

It is an arithmetic number, because the mean of its divisors is an integer number (73347736).

Almost surely, 22222113300 is an apocalyptic number.

2222113300 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 2222113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640518496).

2222113300 is an abundant number, since it is smaller than the sum of its proper divisors (3058923692).

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

2222113300 is a wasteful number, since it uses less digits than its factorization.

2222113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7969 (or 7962 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2222113300 is about 47139.2967703168. The cubic root of 2222113300 is about 1304.9345592371.

Adding to 2222113300 its reverse (33112222), we get a palindrome (2255225522).

The spelling of 2222113300 in words is "two billion, two hundred twenty-two million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 263 275 526 550 1052 1100 1315 2630 2893 5260 5786 6575 7681 11572 13150 14465 15362 26300 28930 30724 38405 57860 72325 76810 84491 144650 153620 168982 192025 289300 337964 384050 422455 768100 844910 1689820 2020103 2112275 4040206 4224550 8080412 8449100 10100515 20201030 22221133 40402060 44442266 50502575 88884532 101005150 111105665 202010300 222211330 444422660 555528325 1111056650 2222113300