Base | Representation |
---|---|
bin | 1000010110100010… |
… | …1000110000100000 |
3 | 12210020202112120212 |
4 | 2011220220300200 |
5 | 14042424204212 |
6 | 1010250153252 |
7 | 106362606356 |
oct | 20550506040 |
9 | 5706675525 |
10 | 2242022432 |
11 | a50621701 |
12 | 526a22828 |
13 | 2996558c0 |
14 | 173a997d6 |
15 | d1c6ce22 |
hex | 85a28c20 |
2242022432 has 48 divisors (see below), whose sum is σ = 4766592600. Its totient is φ = 1031933952.
The previous prime is 2242022429. The next prime is 2242022459. The reversal of 2242022432 is 2342202422.
It can be written as a sum of positive squares in 4 ways, for example, as 2123735056 + 118287376 = 46084^2 + 10876^2 .
It is a junction number, because it is equal to n+sod(n) for n = 2242022398 and 2242022407.
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, 147944 + ... + 162392.
Almost surely, 22242022432 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 2242022432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383296300).
2242022432 is an abundant number, since it is smaller than the sum of its proper divisors (2524570168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2242022432 is a wasteful number, since it uses less digits than its factorization.
2242022432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 14845 (or 14837 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 23.
The square root of 2242022432 is about 47349.9992819430. Note that the first 3 decimals coincide. The cubic root of 2242022432 is about 1308.8201859322.
Adding to 2242022432 its reverse (2342202422), we get a palindrome (4584224854).
The spelling of 2242022432 in words is "two billion, two hundred forty-two million, twenty-two thousand, four hundred thirty-two".
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