Base | Representation |
---|---|
bin | 101010111010… |
… | …1101011100000 |
3 | 1120100020002120 |
4 | 1111311223200 |
5 | 21230031422 |
6 | 2122144240 |
7 | 362156553 |
oct | 125655340 |
9 | 46306076 |
10 | 22502112 |
11 | 1177a196 |
12 | 7652080 |
13 | 487b279 |
14 | 2dba69a |
15 | 1e9745c |
hex | 1575ae0 |
22502112 has 48 divisors (see below), whose sum is σ = 60519312. Its totient is φ = 7316480.
The previous prime is 22502111. The next prime is 22502131. The reversal of 22502112 is 21120522.
It is a tau number, because it is divible by the number of its divisors (48).
It is a junction number, because it is equal to n+sod(n) for n = 22502091 and 22502100.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22502111) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1078 + ... + 6794.
It is an arithmetic number, because the mean of its divisors is an integer number (1260819).
Almost surely, 222502112 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 22502112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30259656).
22502112 is an abundant number, since it is smaller than the sum of its proper divisors (38017200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22502112 is a wasteful number, since it uses less digits than its factorization.
22502112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5771 (or 5763 counting only the distinct ones).
The product of its (nonzero) digits is 80, while the sum is 15.
The square root of 22502112 is about 4743.6391093758. The cubic root of 22502112 is about 282.3196415795.
Adding to 22502112 its reverse (21120522), we get a palindrome (43622634).
The spelling of 22502112 in words is "twenty-two million, five hundred two thousand, one hundred twelve".
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