Base | Representation |
---|---|
bin | 10000000110010101000000 |
3 | 21221102001121 |
4 | 100012111000 |
5 | 2040021344 |
6 | 230242024 |
7 | 50604601 |
oct | 20062500 |
9 | 7842047 |
10 | 4220224 |
11 | 2422798 |
12 | 14b6314 |
13 | b49b98 |
14 | 7bbda8 |
15 | 585684 |
hex | 406540 |
4220224 has 56 divisors (see below), whose sum is σ = 9070848. Its totient is φ = 1943040.
The previous prime is 4220207. The next prime is 4220239.
4220224 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×42202242 = 35620581220352, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a d-powerful number, because it can be written as 43 + 210 + 213 + 0 + 214 + 222 + 44 .
It is a junction number, because it is equal to n+sod(n) for n = 4220198 and 4220207.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69154 + ... + 69214.
Almost surely, 24220224 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4535424).
4220224 is an abundant number, since it is smaller than the sum of its proper divisors (4850624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4220224 is a wasteful number, since it uses less digits than its factorization.
4220224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 143 (or 133 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 16.
The square root of 4220224 is about 2054.3183784409. The cubic root of 4220224 is about 161.6014181492.
It can be divided in two parts, 4220 and 224, that added together give a palindrome (4444).
The spelling of 4220224 in words is "four million, two hundred twenty thousand, two hundred twenty-four".
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