Base | Representation |
---|---|
bin | 10100100001001110… |
… | …001011101000000000 |
3 | 2002212110110211122101 |
4 | 110201032023220000 |
5 | 330110220432430 |
6 | 14042122320144 |
7 | 1406656425526 |
oct | 244116135000 |
9 | 62773424571 |
10 | 22032202240 |
11 | 9386670704 |
12 | 432a659054 |
13 | 2101718479 |
14 | 10d0164316 |
15 | 88e38edca |
hex | 52138ba00 |
22032202240 has 40 divisors (see below), whose sum is σ = 52825653540. Its totient is φ = 8812879872.
The previous prime is 22032202211. The next prime is 22032202243. The reversal of 22032202240 is 4220223022.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 21814108416 + 218093824 = 147696^2 + 14768^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a super-3 number, since 3×220322022403 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is not an unprimeable number, because it can be changed into a prime (22032202243) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4300605 + ... + 4305724.
Almost surely, 222032202240 is an apocalyptic number.
22032202240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
22032202240 is an abundant number, since it is smaller than the sum of its proper divisors (30793451300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22032202240 is an frugal number, since it uses more digits than its factorization.
22032202240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8606352 (or 8606336 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 19.
Adding to 22032202240 its reverse (4220223022), we get a palindrome (26252425262).
The spelling of 22032202240 in words is "twenty-two billion, thirty-two million, two hundred two thousand, two hundred forty".
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