Base | Representation |
---|---|
bin | 101010010001… |
… | …1110010010000 |
3 | 1112201011221212 |
4 | 1110203302100 |
5 | 21133313142 |
6 | 2111035252 |
7 | 356261603 |
oct | 124436220 |
9 | 45634855 |
10 | 22166672 |
11 | 11570170 |
12 | 750bb28 |
13 | 4791698 |
14 | 2d3033a |
15 | 1e2cd82 |
hex | 1523c90 |
22166672 has 80 divisors (see below), whose sum is σ = 50086080. Its totient is φ = 9408000.
The previous prime is 22166671. The next prime is 22166699. The reversal of 22166672 is 27666122.
It is a super-2 number, since 2×221666722 = 982722695111168, which contains 22 as substring.
Its product of digits (12096) is a multiple of the sum of its prime factors (192).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22166671) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219422 + ... + 219522.
It is an arithmetic number, because the mean of its divisors is an integer number (626076).
Almost surely, 222166672 is an apocalyptic number.
22166672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22166672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25043040).
22166672 is an abundant number, since it is smaller than the sum of its proper divisors (27919408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22166672 is a wasteful number, since it uses less digits than its factorization.
22166672 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 192 (or 186 counting only the distinct ones).
The product of its digits is 12096, while the sum is 32.
The square root of 22166672 is about 4708.1495303357. The cubic root of 22166672 is about 280.9097619342.
It can be divided in two parts, 2216 and 6672, that added together give a palindrome (8888).
The spelling of 22166672 in words is "twenty-two million, one hundred sixty-six thousand, six hundred seventy-two".
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