Base | Representation |
---|---|
bin | 1000001111011110… |
… | …1010001110000000 |
3 | 12201012000212200022 |
4 | 2003313222032000 |
5 | 14012333444034 |
6 | 1003311313012 |
7 | 105553066454 |
oct | 20367521600 |
9 | 5635025608 |
10 | 2212406144 |
11 | a35933533 |
12 | 518b1b768 |
13 | 293486480 |
14 | 16db8a664 |
15 | ce36cb2e |
hex | 83dea380 |
2212406144 has 64 divisors (see below), whose sum is σ = 4800222000. Its totient is φ = 1009569792.
The previous prime is 2212406093. The next prime is 2212406191. The reversal of 2212406144 is 4416042122.
It is a tau number, because it is divible by the number of its divisors (64).
It is a Harshad number since it is a multiple of its sum of digits (26).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140627 + ... + 155565.
Almost surely, 22212406144 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 2212406144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400111000).
2212406144 is an abundant number, since it is smaller than the sum of its proper divisors (2587815856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2212406144 is a wasteful number, since it uses less digits than its factorization.
2212406144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15055 (or 15043 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 26.
The square root of 2212406144 is about 47036.2216169624. The cubic root of 2212406144 is about 1303.0316119370.
Adding to 2212406144 its reverse (4416042122), we get a palindrome (6628448266).
The spelling of 2212406144 in words is "two billion, two hundred twelve million, four hundred six thousand, one hundred forty-four".
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