Base | Representation |
---|---|
bin | 101010100010… |
… | …0101010000000 |
3 | 1112222000122112 |
4 | 1111010222000 |
5 | 21202120222 |
6 | 2113554452 |
7 | 360362255 |
oct | 125045200 |
9 | 45860575 |
10 | 22301312 |
11 | 11652340 |
12 | 7575a28 |
13 | 480aa57 |
14 | 2d6742c |
15 | 1e57be2 |
hex | 1544a80 |
22301312 has 64 divisors (see below), whose sum is σ = 49645440. Its totient is φ = 9891840.
The previous prime is 22301311. The next prime is 22301317. The reversal of 22301312 is 21310322.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (64).
It is not an unprimeable number, because it can be changed into a prime (22301311) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66008 + ... + 66344.
It is an arithmetic number, because the mean of its divisors is an integer number (775710).
Almost surely, 222301312 is an apocalyptic number.
22301312 is a gapful number since it is divisible by the number (22) 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 22301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24822720).
22301312 is an abundant number, since it is smaller than the sum of its proper divisors (27344128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22301312 is a wasteful number, since it uses less digits than its factorization.
22301312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 409 (or 397 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 14.
The square root of 22301312 is about 4722.4264949282. The cubic root of 22301312 is about 281.4773613706.
Adding to 22301312 its reverse (21310322), we get a palindrome (43611634).
The spelling of 22301312 in words is "twenty-two million, three hundred one thousand, three hundred twelve".
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