Base | Representation |
---|---|
bin | 111100010000101… |
… | …1100011110100000 |
3 | 12012220210221020200 |
4 | 1320201130132200 |
5 | 13120120031222 |
6 | 532351105200 |
7 | 101051666565 |
oct | 17041343640 |
9 | 5186727220 |
10 | 2022033312 |
11 | 948426612 |
12 | 485212200 |
13 | 262bc0120 |
14 | 15279286c |
15 | bc7b5eac |
hex | 7885c7a0 |
2022033312 has 144 divisors (see below), whose sum is σ = 6556946760. Its totient is φ = 585547776.
The previous prime is 2022033287. The next prime is 2022033319. The reversal of 2022033312 is 2133302202.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 1444304016 + 577729296 = 38004^2 + 24036^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (2022033319) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47764 + ... + 79532.
Almost surely, 22022033312 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 2022033312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3278473380).
2022033312 is an abundant number, since it is smaller than the sum of its proper divisors (4534913448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2022033312 is a wasteful number, since it uses less digits than its factorization.
2022033312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 31815 (or 31804 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 2022033312 is about 44967.0247181198. The cubic root of 2022033312 is about 1264.5308684472.
Adding to 2022033312 its reverse (2133302202), we get a palindrome (4155335514).
The spelling of 2022033312 in words is "two billion, twenty-two million, thirty-three thousand, three hundred twelve".
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