Base | Representation |
---|---|
bin | 111100010001011… |
… | …1001011100100000 |
3 | 12012221112021121101 |
4 | 1320202321130200 |
5 | 13120214222422 |
6 | 532403204144 |
7 | 101055144025 |
oct | 17042713440 |
9 | 5187467541 |
10 | 2022414112 |
11 | 948666724 |
12 | 485376654 |
13 | 262cc4554 |
14 | 15285154c |
15 | bc83dc27 |
hex | 788b9720 |
2022414112 has 96 divisors (see below), whose sum is σ = 4457980800. Its totient is φ = 897527808.
The previous prime is 2022414103. The next prime is 2022414113. The reversal of 2022414112 is 2114142202.
It is a Harshad number since it is a multiple of its sum of digits (19).
It is a self number, because there is not a number n which added to its sum of digits gives 2022414112.
It is not an unprimeable number, because it can be changed into a prime (2022414113) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4020453 + ... + 4020955.
It is an arithmetic number, because the mean of its divisors is an integer number (46437300).
Almost surely, 22022414112 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 2022414112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228990400).
2022414112 is an abundant number, since it is smaller than the sum of its proper divisors (2435566688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2022414112 is a wasteful number, since it uses less digits than its factorization.
2022414112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 938 (or 930 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 19.
The square root of 2022414112 is about 44971.2587326617. The cubic root of 2022414112 is about 1264.6102445100.
Adding to 2022414112 its reverse (2114142202), we get a palindrome (4136556314).
The spelling of 2022414112 in words is "two billion, twenty-two million, four hundred fourteen thousand, one hundred twelve".
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