Base | Representation |
---|---|
bin | 101010010001… |
… | …0111000011000 |
3 | 1112200222212200 |
4 | 1110202320120 |
5 | 21133203333 |
6 | 2111010200 |
7 | 356245032 |
oct | 124427030 |
9 | 45628780 |
10 | 22162968 |
11 | 11568403 |
12 | 7509960 |
13 | 478caa9 |
14 | 2d2cc52 |
15 | 1e2bc13 |
hex | 1522e18 |
22162968 has 96 divisors (see below), whose sum is σ = 66970800. Its totient is φ = 6580224.
The previous prime is 22162939. The next prime is 22162969. The reversal of 22162968 is 86926122.
It is a happy number.
22162968 is a `hidden beast` number, since 2 + 21 + 629 + 6 + 8 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22162969) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22780 + ... + 23732.
Almost surely, 222162968 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 22162968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33485400).
22162968 is an abundant number, since it is smaller than the sum of its proper divisors (44807832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22162968 is a wasteful number, since it uses less digits than its factorization.
22162968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1001 (or 994 counting only the distinct ones).
The product of its digits is 20736, while the sum is 36.
The square root of 22162968 is about 4707.7561534132. The cubic root of 22162968 is about 280.8941146039.
It can be divided in two parts, 2216 and 2968, that added together give a square (5184 = 722).
The spelling of 22162968 in words is "twenty-two million, one hundred sixty-two thousand, nine hundred sixty-eight".
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