Base | Representation |
---|---|
bin | 101010100101… |
… | …1101011100000 |
3 | 1120000111010000 |
4 | 1111023223200 |
5 | 21204030310 |
6 | 2114340000 |
7 | 360542163 |
oct | 125135340 |
9 | 46014100 |
10 | 22330080 |
11 | 11671a13 |
12 | 758a600 |
13 | 481ab86 |
14 | 2d73ada |
15 | 1e614c0 |
hex | 154bae0 |
22330080 has 120 divisors (see below), whose sum is σ = 78852312. Its totient is φ = 5951232.
The previous prime is 22330069. The next prime is 22330081. The reversal of 22330080 is 8003322.
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22330081) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12099 + ... + 13821.
Almost surely, 222330080 is an apocalyptic number.
22330080 is a gapful number since it is divisible by the number (20) 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 22330080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39426156).
22330080 is an abundant number, since it is smaller than the sum of its proper divisors (56522232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22330080 is a wasteful number, since it uses less digits than its factorization.
22330080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1750 (or 1733 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 22330080 is about 4725.4714050558. The cubic root of 22330080 is about 281.5983417172.
It can be divided in two parts, 223 and 30080, that added together give a palindrome (30303).
The spelling of 22330080 in words is "twenty-two million, three hundred thirty thousand, eighty".
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