Base | Representation |
---|---|
bin | 101010011000… |
… | …0001000100000 |
3 | 1112210202100001 |
4 | 1110300020200 |
5 | 21141422443 |
6 | 2112105344 |
7 | 356562214 |
oct | 124601040 |
9 | 45722301 |
10 | 22217248 |
11 | 115a5169 |
12 | 7535254 |
13 | 47ab701 |
14 | 2d44944 |
15 | 1e3cd4d |
hex | 1530220 |
22217248 has 48 divisors (see below), whose sum is σ = 45927000. Its totient is φ = 10565632.
The previous prime is 22217233. The next prime is 22217263. The reversal of 22217248 is 84271222.
It is an interprime number because it is at equal distance from previous prime (22217233) and next prime (22217263).
It can be written as a sum of positive squares in 4 ways, for example, as 10575504 + 11641744 = 3252^2 + 3412^2 .
It is a super-2 number, since 2×222172482 = 987212217387008, which contains 22 as substring.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82458 + ... + 82726.
Almost surely, 222217248 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 22217248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22963500).
22217248 is an abundant number, since it is smaller than the sum of its proper divisors (23709752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22217248 is a wasteful number, since it uses less digits than its factorization.
22217248 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 397 (or 389 counting only the distinct ones).
The product of its digits is 3584, while the sum is 28.
The square root of 22217248 is about 4713.5175824431. The cubic root of 22217248 is about 281.1232430943.
The spelling of 22217248 in words is "twenty-two million, two hundred seventeen thousand, two hundred forty-eight".
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