Base | Representation |
---|---|
bin | 11101011011010101010… |
… | …010011000000111000000 |
3 | 21011022200111111211120000 |
4 | 131123111102120013000 |
5 | 231112443011242342 |
6 | 4144554122320000 |
7 | 266046215556000 |
oct | 35332522300700 |
9 | 7138614454500 |
10 | 2022212993472 |
11 | 70a685574631 |
12 | 287b03059000 |
13 | 11890356c8a9 |
14 | 6dc38a36000 |
15 | 3790818044c |
hex | 1d6d54981c0 |
2022212993472 has 1120 divisors, whose sum is σ = 7360817587200. Its totient is φ = 547658496000.
The previous prime is 2022212993413. The next prime is 2022212993543. The reversal of 2022212993472 is 2743992122202.
2022212993472 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 212 + 99 + 347 + 2 = 666.
It is a super-2 number, since 2×20222129934722 (a number of 25 digits) contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8056625347 + ... + 8056625597.
It is an arithmetic number, because the mean of its divisors is an integer number (6572158560).
Almost surely, 22022212993472 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 2022212993472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680408793600).
2022212993472 is an abundant number, since it is smaller than the sum of its proper divisors (5338604593728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2022212993472 is a wasteful number, since it uses less digits than its factorization.
2022212993472 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 516 (or 483 counting only the distinct ones).
The product of its (nonzero) digits is 435456, while the sum is 45.
The spelling of 2022212993472 in words is "two trillion, twenty-two billion, two hundred twelve million, nine hundred ninety-three thousand, four hundred seventy-two".
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