| Base | Representation |
|---|---|
| bin | 10100011111101011… |
| … | …100010000000000000 |
| 3 | 2002210122210222120002 |
| 4 | 110133223202000000 |
| 5 | 330032110413012 |
| 6 | 14035400135132 |
| 7 | 1406223550262 |
| oct | 243753420000 |
| 9 | 62718728502 |
| 10 | 22006341632 |
| 11 | 9373008200 |
| 12 | 4321a674a8 |
| 13 | 20c9262632 |
| 14 | 10ca951b32 |
| 15 | 88be827c2 |
| hex | 51fae2000 |
22006341632 has 126 divisors (see below), whose sum is σ = 48701465589. Its totient is φ = 9935749120.
The previous prime is 22006341631. The next prime is 22006341691. The reversal of 22006341632 is 23614360022.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 2 ways, for example, as 18080567296 + 3925774336 = 134464^2 + 62656^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=104896.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 22006341595 and 22006341604.
It is not an unprimeable number, because it can be changed into a prime (22006341631) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 147693494 + ... + 147693642.
Almost surely, 222006341632 is an apocalyptic number.
22006341632 is a gapful number since it is divisible by the number (22) 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 22006341632
22006341632 is an abundant number, since it is smaller than the sum of its proper divisors (26695123957).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22006341632 is an frugal number, since it uses more digits than its factorization.
22006341632 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 346 (or 162 counting only the distinct ones).
The product of its (nonzero) digits is 10368, while the sum is 29.
Multiplying 22006341632 by its product of nonzero digits (10368), we get a square (228161750040576 = 151050242).
The spelling of 22006341632 in words is "twenty-two billion, six million, three hundred forty-one thousand, six hundred thirty-two".
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