Base | Representation |
---|---|
bin | 101010111010… |
… | …0010000000000 |
3 | 1120022221001200 |
4 | 1111310100000 |
5 | 21224340011 |
6 | 2122101200 |
7 | 362133516 |
oct | 125642000 |
9 | 46287050 |
10 | 22496256 |
11 | 11775852 |
12 | 764a800 |
13 | 48786c3 |
14 | 2db84b6 |
15 | 1e95856 |
hex | 1574400 |
22496256 has 66 divisors (see below), whose sum is σ = 64984062. Its totient is φ = 7495680.
The previous prime is 22496239. The next prime is 22496261. The reversal of 22496256 is 65269422.
22496256 is a `hidden beast` number, since 2 + 24 + 9 + 625 + 6 = 666.
It can be written as a sum of positive squares in only one way, i.e., 14745600 + 7750656 = 3840^2 + 2784^2 .
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 22496256.
It is an unprimeable number.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7996 + ... + 10436.
It is an arithmetic number, because the mean of its divisors is an integer number (984607).
Almost surely, 222496256 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 22496256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32492031).
22496256 is an abundant number, since it is smaller than the sum of its proper divisors (42487806).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22496256 is a wasteful number, since it uses less digits than its factorization.
22496256 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2467 (or 2446 counting only the distinct ones).
The product of its digits is 51840, while the sum is 36.
The square root of 22496256 is about 4743.0218215817. The cubic root of 22496256 is about 282.2951489562.
The spelling of 22496256 in words is "twenty-two million, four hundred ninety-six thousand, two hundred fifty-six".
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