Base | Representation |
---|---|
bin | 101010100100… |
… | …0000000100100 |
3 | 1112222201111010 |
4 | 1111020000210 |
5 | 21203040134 |
6 | 2114142220 |
7 | 360450303 |
oct | 125100044 |
9 | 45881433 |
10 | 22315044 |
11 | 11661694 |
12 | 7581970 |
13 | 481408b |
14 | 2d6c43a |
15 | 1e5bce9 |
hex | 1548024 |
22315044 has 48 divisors (see below), whose sum is σ = 55428800. Its totient is φ = 6967296.
The previous prime is 22315031. The next prime is 22315049. The reversal of 22315044 is 44051322.
It is a super-3 number, since 3×223150443 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a self number, because there is not a number n which added to its sum of digits gives 22315044.
It is not an unprimeable number, because it can be changed into a prime (22315049) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21612 + ... + 22620.
Almost surely, 222315044 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 22315044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27714400).
22315044 is an abundant number, since it is smaller than the sum of its proper divisors (33113756).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22315044 is a wasteful number, since it uses less digits than its factorization.
22315044 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1132 (or 1130 counting only the distinct ones).
The product of its (nonzero) digits is 960, while the sum is 21.
The square root of 22315044 is about 4723.8801847634. The cubic root of 22315044 is about 281.5351226069.
Adding to 22315044 its reverse (44051322), we get a palindrome (66366366).
The spelling of 22315044 in words is "twenty-two million, three hundred fifteen thousand, forty-four".
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