Base | Representation |
---|---|
bin | 10100101101101000… |
… | …100001000001100000 |
3 | 2010101222022000111000 |
4 | 110231220201001200 |
5 | 331022022312344 |
6 | 14114521352000 |
7 | 1415065361163 |
oct | 245550410140 |
9 | 63358260430 |
10 | 22240432224 |
11 | 94831649aa |
12 | 4388338600 |
13 | 21358c478a |
14 | 110da89ada |
15 | 8a27c2a69 |
hex | 52da21060 |
22240432224 has 96 divisors (see below), whose sum is σ = 67104828000. Its totient is φ = 7157832192.
The previous prime is 22240432219. The next prime is 22240432243. The reversal of 22240432224 is 42223404222.
22240432224 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 0 + 432 + 224 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (27).
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, 418759 + ... + 468870.
It is an arithmetic number, because the mean of its divisors is an integer number (699008625).
Almost surely, 222240432224 is an apocalyptic number.
22240432224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
It is an amenable number.
22240432224 is an abundant number, since it is smaller than the sum of its proper divisors (44864395776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22240432224 is a wasteful number, since it uses less digits than its factorization.
22240432224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 887677 (or 887663 counting only the distinct ones).
The product of its (nonzero) digits is 12288, while the sum is 27.
Adding to 22240432224 its reverse (42223404222), we get a palindrome (64463836446).
It can be divided in two parts, 22240432 and 224, that added together give a square (22240656 = 47162).
The spelling of 22240432224 in words is "twenty-two billion, two hundred forty million, four hundred thirty-two thousand, two hundred twenty-four".
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