Base | Representation |
---|---|
bin | 111100010001001… |
… | …0100010110010100 |
3 | 12012221020120011200 |
4 | 1320202110112110 |
5 | 13120144342124 |
6 | 532400032500 |
7 | 101053642026 |
oct | 17042242624 |
9 | 5187216150 |
10 | 2022262164 |
11 | 94857254a |
12 | 485302730 |
13 | 262c70340 |
14 | 152812016 |
15 | bc80dbc9 |
hex | 78894594 |
2022262164 has 72 divisors (see below), whose sum is σ = 5521093032. Its totient is φ = 620421120.
The previous prime is 2022262163. The next prime is 2022262171. The reversal of 2022262164 is 4612622202.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 1040400 + 2021221764 = 1020^2 + 44958^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2022262163) 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 23 ways as a sum of consecutive naturals, for example, 159084 + ... + 171324.
Almost surely, 22022262164 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 2022262164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760546516).
2022262164 is an abundant number, since it is smaller than the sum of its proper divisors (3498830868).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2022262164 is a wasteful number, since it uses less digits than its factorization.
2022262164 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12617 (or 12612 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
The square root of 2022262164 is about 44969.5693108128. The cubic root of 2022262164 is about 1264.5785728214.
Adding to 2022262164 its reverse (4612622202), we get a palindrome (6634884366).
The spelling of 2022262164 in words is "two billion, twenty-two million, two hundred sixty-two thousand, one hundred sixty-four".
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