Base | Representation |
---|---|
bin | 101011110110… |
… | …1100010100000 |
3 | 1121021011112200 |
4 | 1113231202200 |
5 | 21341234211 |
6 | 2140453200 |
7 | 366303102 |
oct | 127554240 |
9 | 47234480 |
10 | 22993056 |
11 | 11a85029 |
12 | 784a200 |
13 | 49c0878 |
14 | 30a7572 |
15 | 2042b56 |
hex | 15ed8a0 |
22993056 has 72 divisors (see below), whose sum is σ = 67665780. Its totient is φ = 7397376.
The previous prime is 22993051. The next prime is 22993063. The reversal of 22993056 is 65039922.
It can be written as a sum of positive squares in 2 ways, for example, as 21344400 + 1648656 = 4620^2 + 1284^2 .
It is a tau number, because it is divible by the number of its divisors (72).
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 22993056.
It is not an unprimeable number, because it can be changed into a prime (22993051) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6976 + ... + 9728.
Almost surely, 222993056 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 22993056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33832890).
22993056 is an abundant number, since it is smaller than the sum of its proper divisors (44672724).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22993056 is a wasteful number, since it uses less digits than its factorization.
22993056 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2798 (or 2787 counting only the distinct ones).
The product of its (nonzero) digits is 29160, while the sum is 36.
The square root of 22993056 is about 4795.1075066155. The cubic root of 22993056 is about 284.3580750866.
The spelling of 22993056 in words is "twenty-two million, nine hundred ninety-three thousand, fifty-six".
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