Base | Representation |
---|---|
bin | 101010110011… |
… | …0100001101000 |
3 | 1120020001221121 |
4 | 1111212201220 |
5 | 21221040130 |
6 | 2120545024 |
7 | 361510600 |
oct | 125464150 |
9 | 46201847 |
10 | 22440040 |
11 | 11737597 |
12 | 7622174 |
13 | 4858c3c |
14 | 2da1c00 |
15 | 1e83d7a |
hex | 1566868 |
22440040 has 72 divisors (see below), whose sum is σ = 59287410. Its totient is φ = 7621824.
The previous prime is 22440037. The next prime is 22440043. The reversal of 22440040 is 4004422.
It is an interprime number because it is at equal distance from previous prime (22440037) and next prime (22440043).
It can be written as a sum of positive squares in only one way, i.e., 20196036 + 2244004 = 4494^2 + 1498^2 .
It is a junction number, because it is equal to n+sod(n) for n = 22439996 and 22440023.
It is not an unprimeable number, because it can be changed into a prime (22440043) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 209667 + ... + 209773.
Almost surely, 222440040 is an apocalyptic number.
22440040 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 22440040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29643705).
22440040 is an abundant number, since it is smaller than the sum of its proper divisors (36847370).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22440040 is a wasteful number, since it uses less digits than its factorization.
22440040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 239 (or 121 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 16.
The square root of 22440040 is about 4737.0919349322. The cubic root of 22440040 is about 282.0598099251.
Adding to 22440040 its reverse (4004422), we get a palindrome (26444462).
The spelling of 22440040 in words is "twenty-two million, four hundred forty thousand, forty".
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