Base | Representation |
---|---|
bin | 1010001001000100110001… |
… | …10000011000010110100010 |
3 | 2220222001110000201111221220 |
4 | 11010202120300120112202 |
5 | 10410344030423122242 |
6 | 115233225034555510 |
7 | 4461161111602266 |
oct | 504423060302642 |
9 | 86861400644856 |
10 | 22302033020322 |
11 | 711926a255400 |
12 | 2602349898b96 |
13 | c5a0c39129c3 |
14 | 5715d1c620a6 |
15 | 28a1d8c58bec |
hex | 144898c185a2 |
22302033020322 has 192 divisors, whose sum is σ = 49786862291712. Its totient is φ = 6654377664000.
The previous prime is 22302033020303. The next prime is 22302033020347.
22302033020322 is nontrivially palindromic in base 10.
It is a junction number, because it is equal to n+sod(n) for n = 22302033020292 and 22302033020301.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19966009308 + ... + 19966010424.
It is an arithmetic number, because the mean of its divisors is an integer number (259306574436).
Almost surely, 222302033020322 is an apocalyptic number.
22302033020322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 22302033020322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24893431145856).
22302033020322 is an abundant number, since it is smaller than the sum of its proper divisors (27484829271390).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22302033020322 is a wasteful number, since it uses less digits than its factorization.
22302033020322 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2505 (or 2494 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 24.
It can be divided in two parts, 2230203 and 3020322, that added together give a palindrome (5250525).
The spelling of 22302033020322 in words is "twenty-two trillion, three hundred two billion, thirty-three million, twenty thousand, three hundred twenty-two".
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