Base | Representation |
---|---|
bin | 1000001011010011… |
… | …1101011111100000 |
3 | 12122222010120011200 |
4 | 2002310331133200 |
5 | 13443344441230 |
6 | 1001444441200 |
7 | 105251344605 |
oct | 20264753740 |
9 | 5588116150 |
10 | 2194921440 |
11 | a26a80a68 |
12 | 5130a9200 |
13 | 28c973baa |
14 | 16b7186ac |
15 | cca67160 |
hex | 82d3d7e0 |
2194921440 has 144 divisors (see below), whose sum is σ = 7514056368. Its totient is φ = 583446528.
The previous prime is 2194921423. The next prime is 2194921453. The reversal of 2194921440 is 441294912.
2194921440 is a `hidden beast` number, since 2 + 194 + 9 + 21 + 440 = 666.
2194921440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 (36).
It is a junction number, because it is equal to n+sod(n) for n = 2194921395 and 2194921404.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 483019 + ... + 487541.
It is an arithmetic number, because the mean of its divisors is an integer number (52180947).
Almost surely, 22194921440 is an apocalyptic number.
2194921440 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 2194921440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3757028184).
2194921440 is an abundant number, since it is smaller than the sum of its proper divisors (5319134928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2194921440 is a wasteful number, since it uses less digits than its factorization.
2194921440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4881 (or 4870 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 36.
The square root of 2194921440 is about 46849.9886872985. The cubic root of 2194921440 is about 1299.5898982551.
The spelling of 2194921440 in words is "two billion, one hundred ninety-four million, nine hundred twenty-one thousand, four hundred forty".
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