Base | Representation |
---|---|
bin | 101010010100… |
… | …1000000000000 |
3 | 1112202021020222 |
4 | 1110221000000 |
5 | 21140004112 |
6 | 2111322212 |
7 | 356411066 |
oct | 124510000 |
9 | 45667228 |
10 | 22188032 |
11 | 11585219 |
12 | 7520368 |
13 | 479b319 |
14 | 2d38036 |
15 | 1e34372 |
hex | 1529000 |
22188032 has 26 divisors (see below), whose sum is σ = 44378838. Its totient is φ = 11091968.
The previous prime is 22188007. The next prime is 22188053. The reversal of 22188032 is 23088122.
22188032 is nontrivially palindromic in base 5.
It can be written as a sum of positive squares in only one way, i.e., 14258176 + 7929856 = 3776^2 + 2816^2 .
It is a junction number, because it is equal to n+sod(n) for n = 22187992 and 22188010.
It is an unprimeable number.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1388 + ... + 6804.
Almost surely, 222188032 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 22188032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22189419).
22188032 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22188032 is an frugal number, since it uses more digits than its factorization.
22188032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5441 (or 5419 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 26.
The square root of 22188032 is about 4710.4173912722. The cubic root of 22188032 is about 280.9999620066. Note that the first 4 decimals are identical.
The spelling of 22188032 in words is "twenty-two million, one hundred eighty-eight thousand, thirty-two".
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