Base | Representation |
---|---|
bin | 1100111111111001100… |
… | …0010010110001101010 |
3 | 210100101221020221022220 |
4 | 3033332120102301222 |
5 | 12124320121111242 |
6 | 250330540054510 |
7 | 22063600100343 |
oct | 3177630226152 |
9 | 710357227286 |
10 | 223311113322 |
11 | 86784335710 |
12 | 37342534436 |
13 | 1809a99a65b |
14 | ab460370ca |
15 | 5c1ec3abec |
hex | 33fe612c6a |
223311113322 has 128 divisors (see below), whose sum is σ = 514306195200. Its totient is φ = 64017408000.
The previous prime is 223311113281. The next prime is 223311113323.
223311113322 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×2233111133222 (a number of 23 digits) contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a zygodrome in base 10.
It is a junction number, because it is equal to n+sod(n) for n = 223311113292 and 223311113301.
It is not an unprimeable number, because it can be changed into a prime (223311113323) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18745504 + ... + 18757412.
It is an arithmetic number, because the mean of its divisors is an integer number (4018017150).
Almost surely, 2223311113322 is an apocalyptic number.
223311113322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 223311113322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257153097600).
223311113322 is an abundant number, since it is smaller than the sum of its proper divisors (290995081878).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223311113322 is a wasteful number, since it uses less digits than its factorization.
223311113322 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12152.
The product of its digits is 1296, while the sum is 24.
It can be divided in two parts, 223311 and 113322, that added together give a palindrome (336633).
The spelling of 223311113322 in words is "two hundred twenty-three billion, three hundred eleven million, one hundred thirteen thousand, three hundred twenty-two".
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