Search a number
-
+
2245443220 = 225313358697
BaseRepresentation
bin1000010111010110…
…1011111010010100
312210111012100000201
42011311223322110
514044313140340
61010451350244
7106433644456
oct20565537224
95714170021
102245443220
11a525487a9
12527bb2384
1329a282937
1417430a2d6
15d21e679a
hex85d6be94

2245443220 has 24 divisors (see below), whose sum is σ = 4730509224. Its totient is φ = 895305216.

The previous prime is 2245443143. The next prime is 2245443223. The reversal of 2245443220 is 223445422.

It can be written as a sum of positive squares in 4 ways, for example, as 151831684 + 2093611536 = 12322^2 + 45756^2 .

It is a super-3 number, since 3×22454432203 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245443223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173089 + ... + 185608.

It is an arithmetic number, because the mean of its divisors is an integer number (197104551).

Almost surely, 22245443220 is an apocalyptic number.

2245443220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2245443220 is an abundant number, since it is smaller than the sum of its proper divisors (2485066004).

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

2245443220 is a wasteful number, since it uses less digits than its factorization.

2245443220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359019 (or 359017 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

The square root of 2245443220 is about 47386.1078798417. The cubic root of 2245443220 is about 1309.4854961462.

Adding to 2245443220 its reverse (223445422), we get a palindrome (2468888642).

The spelling of 2245443220 in words is "two billion, two hundred forty-five million, four hundred forty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 313 626 1252 1565 3130 6260 358697 717394 1434788 1793485 3586970 7173940 112272161 224544322 449088644 561360805 1122721610 2245443220