Base | Representation |
---|---|
bin | 101011011001… |
… | …0111111100000 |
3 | 1120210222120220 |
4 | 1112302333200 |
5 | 21311100443 |
6 | 2131403040 |
7 | 364254000 |
oct | 126627740 |
9 | 46728526 |
10 | 22753248 |
11 | 11930941 |
12 | 7753480 |
13 | 493867b |
14 | 3044000 |
15 | 1ee6a83 |
hex | 15b2fe0 |
22753248 has 96 divisors (see below), whose sum is σ = 69753600. Its totient is φ = 6491520.
The previous prime is 22753243. The next prime is 22753253. The reversal of 22753248 is 84235722.
It is an interprime number because it is at equal distance from previous prime (22753243) and next prime (22753253).
It is a tau number, because it is divible by the number of its divisors (96).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22753243) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32583 + ... + 33273.
It is an arithmetic number, because the mean of its divisors is an integer number (726600).
Almost surely, 222753248 is an apocalyptic number.
22753248 is a gapful number since it is divisible by the number (28) 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 22753248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34876800).
22753248 is an abundant number, since it is smaller than the sum of its proper divisors (47000352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22753248 is an equidigital number, since it uses as much as digits as its factorization.
22753248 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 725 (or 703 counting only the distinct ones).
The product of its digits is 26880, while the sum is 33.
The square root of 22753248 is about 4770.0364778479. The cubic root of 22753248 is about 283.3660394386.
The spelling of 22753248 in words is "twenty-two million, seven hundred fifty-three thousand, two hundred forty-eight".
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