Base | Representation |
---|---|
bin | 101011010000… |
… | …1100101100100 |
3 | 1120200100210110 |
4 | 1112201211210 |
5 | 21301310311 |
6 | 2130053020 |
7 | 363536103 |
oct | 126414544 |
9 | 46610713 |
10 | 22681956 |
11 | 11892320 |
12 | 771a170 |
13 | 491209b |
14 | 302603a |
15 | 1ed08a6 |
hex | 15a1964 |
22681956 has 96 divisors (see below), whose sum is σ = 62447616. Its totient is φ = 6336000.
The previous prime is 22681951. The next prime is 22681957. The reversal of 22681956 is 65918622.
It is a super-2 number, since 2×226819562 = 1028942255971872, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (22681951) 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 31 ways as a sum of consecutive naturals, for example, 93996 + ... + 94236.
It is an arithmetic number, because the mean of its divisors is an integer number (650496).
Almost surely, 222681956 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 22681956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31223808).
22681956 is an abundant number, since it is smaller than the sum of its proper divisors (39765660).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22681956 is a wasteful number, since it uses less digits than its factorization.
22681956 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 313 (or 311 counting only the distinct ones).
The product of its digits is 51840, while the sum is 39.
The square root of 22681956 is about 4762.5577161857. The cubic root of 22681956 is about 283.0697759832.
It can be divided in two parts, 2268 and 1956, that added together give a palindrome (4224).
The spelling of 22681956 in words is "twenty-two million, six hundred eighty-one thousand, nine hundred fifty-six".
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