Base | Representation |
---|---|
bin | 11010100111000… |
… | …01011010101100 |
3 | 120120000211020000 |
4 | 31103201122230 |
5 | 424121041140 |
6 | 34052224300 |
7 | 5350231212 |
oct | 1523413254 |
9 | 516024200 |
10 | 223221420 |
11 | 105003614 |
12 | 6290b090 |
13 | 37327aa6 |
14 | 21908cb2 |
15 | 148e4a30 |
hex | d4e16ac |
223221420 has 60 divisors (see below), whose sum is σ = 700258944. Its totient is φ = 59525280.
The previous prime is 223221391. The next prime is 223221437. The reversal of 223221420 is 24122322.
223221420 is a `hidden beast` number, since 2 + 23 + 221 + 420 = 666.
223221420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (60).
It is a super-3 number, since 3×2232214203 (a number of 26 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 = 223221393 and 223221402.
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67276 + ... + 70515.
Almost surely, 2223221420 is an apocalyptic number.
223221420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
223221420 is an abundant number, since it is smaller than the sum of its proper divisors (477037524).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223221420 is a wasteful number, since it uses less digits than its factorization.
223221420 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 137812 (or 137801 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 223221420 is about 14940.5963736392. The cubic root of 223221420 is about 606.6133384406.
Adding to 223221420 its reverse (24122322), we get a palindrome (247343742).
The spelling of 223221420 in words is "two hundred twenty-three million, two hundred twenty-one thousand, four hundred twenty".
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