Search a number
-
+
2223313211300 = 225222233132113
BaseRepresentation
bin100000010110100111110…
…010110100111110100100
321212112202112001101011212
4200112213302310332210
5242411321140230200
64421213114050552
7316425526324106
oct40264762647644
97775675041155
102223313211300
117879a1389765
122baa87119a58
131318717b791c
1479874cb1576
153cc77ed0035
hex205a7cb4fa4

2223313211300 has 18 divisors (see below), whose sum is σ = 4824589668738. Its totient is φ = 889325284480.

The previous prime is 2223313211293. The next prime is 2223313211303. The reversal of 2223313211300 is 31123133222.

2223313211300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 303603204004 + 1919710007296 = 551002^2 + 1385536^2 .

It is a super-2 number, since 2×22233132113002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2223313211303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11116565957 + ... + 11116566156.

Almost surely, 22223313211300 is an apocalyptic number.

2223313211300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2223313211300 is an abundant number, since it is smaller than the sum of its proper divisors (2601276457438).

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

2223313211300 is a wasteful number, since it uses less digits than its factorization.

2223313211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22233132127 (or 22233132120 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 2223313211300 its reverse (31123133222), we get a palindrome (2254436344522).

The spelling of 2223313211300 in words is "two trillion, two hundred twenty-three billion, three hundred thirteen million, two hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 22233132113 44466264226 88932528452 111165660565 222331321130 444662642260 555828302825 1111656605650 2223313211300