Base | Representation |
---|---|
bin | 1000001110111101… |
… | …0101011110100000 |
3 | 12201000221000101100 |
4 | 2003233111132200 |
5 | 14011304132112 |
6 | 1003152434400 |
7 | 105525410562 |
oct | 20357253640 |
9 | 5630830340 |
10 | 2210224032 |
11 | a34683035 |
12 | 518248a00 |
13 | 292ba1193 |
14 | 16d77d332 |
15 | ce08b2dc |
hex | 83bd57a0 |
2210224032 has 36 divisors (see below), whose sum is σ = 6285325410. Its totient is φ = 736741248.
The previous prime is 2210223997. The next prime is 2210224033. The reversal of 2210224032 is 2304220122.
2210224032 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., 1838351376 + 371872656 = 42876^2 + 19284^2 .
It is a tau number, because it is divible by the number of its divisors (36).
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 = 2210223996 and 2210224014.
It is not an unprimeable number, because it can be changed into a prime (2210224033) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3836907 + ... + 3837482.
Almost surely, 22210224032 is an apocalyptic number.
It is an amenable number.
2210224032 is an abundant number, since it is smaller than the sum of its proper divisors (4075101378).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2210224032 is a wasteful number, since it uses less digits than its factorization.
2210224032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7674405 (or 7674394 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 2210224032 is about 47013.0198136644. The cubic root of 2210224032 is about 1302.6030745509.
Adding to 2210224032 its reverse (2304220122), we get a palindrome (4514444154).
The spelling of 2210224032 in words is "two billion, two hundred ten million, two hundred twenty-four thousand, thirty-two".
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