Base | Representation |
---|---|
bin | 1010000000101000111100… |
… | …00101101100001000100000 |
3 | 2212221100100220201101121100 |
4 | 11000110132011230020200 |
5 | 10341122002310344333 |
6 | 114452134244554400 |
7 | 4431221065352334 |
oct | 500243605541040 |
9 | 85840326641540 |
10 | 22012212199968 |
11 | 7017365a25471 |
12 | 25761453b2a00 |
13 | c38986948c23 |
14 | 56157a9a57c4 |
15 | 2828c504d213 |
hex | 14051e16c220 |
22012212199968 has 36 divisors (see below), whose sum is σ = 62597228444478. Its totient is φ = 7337404066560.
The previous prime is 22012212199927. The next prime is 22012212199969. The reversal of 22012212199968 is 86999121221022.
22012212199968 is a `hidden beast` number, since 220 + 1 + 221 + 2 + 199 + 9 + 6 + 8 = 666.
It can be written as a sum of positive squares in only one way, i.e., 16886280741264 + 5125931458704 = 4109292^2 + 2264052^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is not an unprimeable number, because it can be changed into a prime (22012212199969) 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, 38215645893 + ... + 38215646468.
Almost surely, 222012212199968 is an apocalyptic number.
It is an amenable number.
22012212199968 is an abundant number, since it is smaller than the sum of its proper divisors (40585016244510).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22012212199968 is a wasteful number, since it uses less digits than its factorization.
22012212199968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 76431292377 (or 76431292366 counting only the distinct ones).
The product of its (nonzero) digits is 1119744, while the sum is 54.
The spelling of 22012212199968 in words is "twenty-two trillion, twelve billion, two hundred twelve million, one hundred ninety-nine thousand, nine hundred sixty-eight".
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