Base | Representation |
---|---|
bin | 111100010000111… |
… | …0010011001110000 |
3 | 12012220222111102220 |
4 | 1320201302121300 |
5 | 13120130414440 |
6 | 532353041040 |
7 | 101052522453 |
oct | 17041623160 |
9 | 5186874386 |
10 | 2022123120 |
11 | 948488036 |
12 | 485256180 |
13 | 262c21c74 |
14 | 1527b749a |
15 | bc7d28d0 |
hex | 78872670 |
2022123120 has 80 divisors (see below), whose sum is σ = 6295659552. Its totient is φ = 536903680.
The previous prime is 2022123119. The next prime is 2022123143. The reversal of 2022123120 is 213212202.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 2022123120.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37840 + ... + 74000.
Almost surely, 22022123120 is an apocalyptic number.
2022123120 is a gapful number since it is divisible by the number (20) 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 2022123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3147829776).
2022123120 is an abundant number, since it is smaller than the sum of its proper divisors (4273536432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2022123120 is a wasteful number, since it uses less digits than its factorization.
2022123120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 36410 (or 36404 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 15.
The square root of 2022123120 is about 44968.0233054556. The cubic root of 2022123120 is about 1264.5495894225.
Adding to 2022123120 its reverse (213212202), we get a palindrome (2235335322).
The spelling of 2022123120 in words is "two billion, twenty-two million, one hundred twenty-three thousand, one hundred twenty".
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