Base | Representation |
---|---|
bin | 101010011010… |
… | …0010010000000 |
3 | 1112211121122101 |
4 | 1110310102000 |
5 | 21142443430 |
6 | 2112320144 |
7 | 356662600 |
oct | 124642200 |
9 | 45747571 |
10 | 22234240 |
11 | 11606a06 |
12 | 7543054 |
13 | 47b6372 |
14 | 2d4ac00 |
15 | 1e42dca |
hex | 1534480 |
22234240 has 96 divisors (see below), whose sum is σ = 61919100. Its totient is φ = 7612416.
The previous prime is 22234229. The next prime is 22234291. The reversal of 22234240 is 4243222.
It can be written as a sum of positive squares in 2 ways, for example, as 20575296 + 1658944 = 4536^2 + 1288^2 .
It is a super-2 number, since 2×222342402 = 988722856755200, which contains 22 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31006 + ... + 31714.
Almost surely, 222234240 is an apocalyptic number.
22234240 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 22234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30959550).
22234240 is an abundant number, since it is smaller than the sum of its proper divisors (39684860).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22234240 is an equidigital number, since it uses as much as digits as its factorization.
22234240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 742 (or 723 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 19.
The square root of 22234240 is about 4715.3197134447. The cubic root of 22234240 is about 281.1948935656.
Adding to 22234240 its reverse (4243222), we get a palindrome (26477462).
The spelling of 22234240 in words is "twenty-two million, two hundred thirty-four thousand, two hundred forty".
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