Base | Representation |
---|---|
bin | 1100111111100010001… |
… | …0000110011101011100 |
3 | 210100011002200022222200 |
4 | 3033320202012131130 |
5 | 12124120013133040 |
6 | 250313113411500 |
7 | 22061266242063 |
oct | 3177042063534 |
9 | 710132608880 |
10 | 223213021020 |
11 | 86733a274a0 |
12 | 37315709b90 |
13 | 18083574282 |
14 | ab36dc11da |
15 | 5c16311630 |
hex | 33f888675c |
223213021020 has 144 divisors (see below), whose sum is σ = 738814239072. Its totient is φ = 54098910720.
The previous prime is 223213021013. The next prime is 223213021043. The reversal of 223213021020 is 20120312322.
223213021020 is a `hidden beast` number, since 22 + 321 + 302 + 1 + 0 + 20 = 666.
It is a super-3 number, since 3×2232130210203 (a number of 35 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 223213020984 and 223213021002.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9755914 + ... + 9778766.
It is an arithmetic number, because the mean of its divisors is an integer number (5130654438).
Almost surely, 2223213021020 is an apocalyptic number.
223213021020 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 223213021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369407119536).
223213021020 is an abundant number, since it is smaller than the sum of its proper divisors (515601218052).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223213021020 is a wasteful number, since it uses less digits than its factorization.
223213021020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 27812 (or 27807 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 223213021020 its reverse (20120312322), we get a palindrome (243333333342).
It can be divided in two parts, 22321302 and 1020, that added together give a palindrome (22322322).
The spelling of 223213021020 in words is "two hundred twenty-three billion, two hundred thirteen million, twenty-one thousand, twenty".
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