Base | Representation |
---|---|
bin | 1111101110001001… |
… | …1100010110010000 |
3 | 101220002212210220200 |
4 | 3323202130112100 |
5 | 32120322011344 |
6 | 1534431335200 |
7 | 206402226231 |
oct | 37342342620 |
9 | 11802783820 |
10 | 4220110224 |
11 | 1876162300 |
12 | 999381500 |
13 | 5233ca355 |
14 | 2c068d088 |
15 | 19a753069 |
hex | fb89c590 |
4220110224 has 90 divisors (see below), whose sum is σ = 12981784998. Its totient is φ = 1278816000.
The previous prime is 4220110211. The next prime is 4220110291.
4220110224 is nontrivially palindromic in base 10.
4220110224 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 3947860224 + 272250000 = 62832^2 + 16500^2 .
It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.
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 = 4220110197 and 4220110206.
It is an unprimeable number.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 103677 + ... + 138524.
Almost surely, 24220110224 is an apocalyptic number.
4220110224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.
It is an amenable number.
4220110224 is an abundant number, since it is smaller than the sum of its proper divisors (8761674774).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4220110224 is a wasteful number, since it uses less digits than its factorization.
4220110224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 242237 (or 242217 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 4220110224 is about 64962.3754491783. The cubic root of 4220110224 is about 1615.9996589386. Note that the first 3 decimals are identical.
It can be divided in two parts, 42201 and 10224, that added together give a palindrome (52425).
The spelling of 4220110224 in words is "four billion, two hundred twenty million, one hundred ten thousand, two hundred twenty-four".
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