Base | Representation |
---|---|
bin | 10000000110110110100000 |
3 | 21221112000000 |
4 | 100012312200 |
5 | 2040103433 |
6 | 230300000 |
7 | 50614053 |
oct | 20066640 |
9 | 7845000 |
10 | 4222368 |
11 | 2424367 |
12 | 14b7600 |
13 | b4ab57 |
14 | 7bca9a |
15 | 586113 |
hex | 406da0 |
4222368 has 84 divisors (see below), whose sum is σ = 12532338. Its totient is φ = 1399680.
The previous prime is 4222367. The next prime is 4222373. The reversal of 4222368 is 8632224.
4222368 is a `hidden beast` number, since 422 + 236 + 8 = 666.
It can be written as a sum of positive squares in only one way, i.e., 4210704 + 11664 = 2052^2 + 108^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (4222367) by changing a digit.
It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 23238 + ... + 23418.
Almost surely, 24222368 is an apocalyptic number.
4222368 is a gapful number since it is divisible by the number (48) 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 4222368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6266169).
4222368 is an abundant number, since it is smaller than the sum of its proper divisors (8309970).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4222368 is an equidigital number, since it uses as much as digits as its factorization.
4222368 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 209 (or 186 counting only the distinct ones).
The product of its digits is 4608, while the sum is 27.
The square root of 4222368 is about 2054.8401397676. The cubic root of 4222368 is about 161.6287796339.
The spelling of 4222368 in words is "four million, two hundred twenty-two thousand, three hundred sixty-eight".
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