Base | Representation |
---|---|
bin | 101010000011… |
… | …0101111010000 |
3 | 1112111010202100 |
4 | 1110012233100 |
5 | 21121011241 |
6 | 2104320400 |
7 | 355254666 |
oct | 124065720 |
9 | 45433670 |
10 | 22047696 |
11 | 11499840 |
12 | 7473100 |
13 | 474c498 |
14 | 2cdcc36 |
15 | 1e079b6 |
hex | 1506bd0 |
22047696 has 120 divisors (see below), whose sum is σ = 69638400. Its totient is φ = 6451200.
The previous prime is 22047689. The next prime is 22047713. The reversal of 22047696 is 69674022.
It is a happy number.
It is a super-3 number, since 3×220476963 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 22047696.
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 48880 + ... + 49328.
It is an arithmetic number, because the mean of its divisors is an integer number (580320).
Almost surely, 222047696 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 22047696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34819200).
22047696 is an abundant number, since it is smaller than the sum of its proper divisors (47590704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22047696 is a wasteful number, since it uses less digits than its factorization.
22047696 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 505 (or 496 counting only the distinct ones).
The product of its (nonzero) digits is 36288, while the sum is 36.
The square root of 22047696 is about 4695.4974177397. The cubic root of 22047696 is about 280.4062809481.
The spelling of 22047696 in words is "twenty-two million, forty-seven thousand, six hundred ninety-six".
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