Base | Representation |
---|---|
bin | 1000010010010010… |
… | …1110100110000000 |
3 | 12202000021002222200 |
4 | 2010210232212000 |
5 | 14023400024134 |
6 | 1004412433200 |
7 | 106055364000 |
oct | 20444564600 |
9 | 5660232880 |
10 | 2224220544 |
11 | a415728a7 |
12 | 520a78800 |
13 | 295a61b40 |
14 | 171584000 |
15 | d0403499 |
hex | 8492e980 |
2224220544 has 384 divisors, whose sum is σ = 8056776000. Its totient is φ = 585252864.
The previous prime is 2224220533. The next prime is 2224220549. The reversal of 2224220544 is 4450224222.
It is a tau number, because it is divible by the number of its divisors (384).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2224220549) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5136552 + ... + 5136984.
Almost surely, 22224220544 is an apocalyptic number.
2224220544 is a gapful number since it is divisible by the number (24) 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 2224220544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4028388000).
2224220544 is an abundant number, since it is smaller than the sum of its proper divisors (5832555456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2224220544 is a wasteful number, since it uses less digits than its factorization.
2224220544 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 487 (or 458 counting only the distinct ones).
The product of its (nonzero) digits is 10240, while the sum is 27.
The square root of 2224220544 is about 47161.6427194813. The cubic root of 2224220544 is about 1305.3469214624.
Adding to 2224220544 its reverse (4450224222), we get a palindrome (6674444766).
The spelling of 2224220544 in words is "two billion, two hundred twenty-four million, two hundred twenty thousand, five hundred forty-four".
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