| Base | Representation |
|---|---|
| bin | 110100101110… |
| … | …101110000000 |
| 3 | 222000021101100 |
| 4 | 310232232000 |
| 5 | 12014312343 |
| 6 | 1212134400 |
| 7 | 225330564 |
| oct | 64565600 |
| 9 | 28007340 |
| 10 | 13822848 |
| 11 | 7891346 |
| 12 | 4767400 |
| 13 | 2b2c900 |
| 14 | 1b9b6a4 |
| 15 | 13309d3 |
| hex | d2eb80 |
13822848 has 144 divisors (see below), whose sum is σ = 43678440. Its totient is φ = 4193280.
The previous prime is 13822847. The next prime is 13822859. The reversal of 13822848 is 84822831.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×138228482 = 382142253662208, which contains 22 as substring.
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13822847) 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, 194653 + ... + 194723.
Almost surely, 213822848 is an apocalyptic number.
13822848 is a gapful number since it is divisible by the number (18) 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 13822848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21839220).
13822848 is an abundant number, since it is smaller than the sum of its proper divisors (29855592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13822848 is a wasteful number, since it uses less digits than its factorization.
13822848 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 117 (or 89 counting only the distinct ones).
The product of its digits is 24576, while the sum is 36.
The square root of 13822848 is about 3717.9090897977. The cubic root of 13822848 is about 239.9933331481.
The spelling of 13822848 in words is "thirteen million, eight hundred twenty-two thousand, eight hundred forty-eight".
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