Search a number
-
+
2221230220 = 2251145722093
BaseRepresentation
bin1000010001100101…
…0100100010001100
312201210122012000221
42010121110202030
514022113331340
61004224401124
7106021100566
oct20431244214
95653565027
102221230220
11a3a910160
1251ba761a4
13295255a11
14171006336
15d001244a
hex8465488c

2221230220 has 48 divisors (see below), whose sum is σ = 5100002208. Its totient is φ = 805916160.

The previous prime is 2221230211. The next prime is 2221230223. The reversal of 2221230220 is 220321222.

It is a junction number, because it is equal to n+sod(n) for n = 2221230194 and 2221230203.

It is not an unprimeable number, because it can be changed into a prime (2221230223) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 89494 + ... + 111586.

It is an arithmetic number, because the mean of its divisors is an integer number (106250046).

Almost surely, 22221230220 is an apocalyptic number.

2221230220 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 2221230220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550001104).

2221230220 is an abundant number, since it is smaller than the sum of its proper divisors (2878771988).

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

2221230220 is a wasteful number, since it uses less digits than its factorization.

2221230220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22570 (or 22568 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2221230220 is about 47129.9291321343. The cubic root of 2221230220 is about 1304.7616736187.

Adding to 2221230220 its reverse (220321222), we get a palindrome (2441551442).

The spelling of 2221230220 in words is "two billion, two hundred twenty-one million, two hundred thirty 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 22093 25135 44186 50270 88372 100540 110465 220930 243023 441860 486046 972092 1215115 2430230 4860460 10096501 20193002 40386004 50482505 100965010 111061511 201930020 222123022 444246044 555307555 1110615110 2221230220