Base | Representation |
---|---|
bin | 110110001101… |
… | …110010000000 |
3 | 222202001111200 |
4 | 312031302000 |
5 | 12114242344 |
6 | 1224341200 |
7 | 231542025 |
oct | 66156200 |
9 | 28661450 |
10 | 14212224 |
11 | 8027944 |
12 | 4914800 |
13 | 2c37c00 |
14 | 1c5d54c |
15 | 13ab069 |
hex | d8dc80 |
14212224 has 144 divisors (see below), whose sum is σ = 44891730. Its totient is φ = 4313088.
The previous prime is 14212217. The next prime is 14212259. The reversal of 14212224 is 42221241.
It can be written as a sum of positive squares in 3 ways, for example, as 7617600 + 6594624 = 2760^2 + 2568^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×142122242 = 403974622052352, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 14212197 and 14212206.
It is an unprimeable number.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 194652 + ... + 194724.
Almost surely, 214212224 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 14212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22445865).
14212224 is an abundant number, since it is smaller than the sum of its proper divisors (30679506).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14212224 is a wasteful number, since it uses less digits than its factorization.
14212224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 119 (or 91 counting only the distinct ones).
The product of its digits is 256, while the sum is 18.
The square root of 14212224 is about 3769.9103437615. The cubic root of 14212224 is about 242.2259574781.
Adding to 14212224 its reverse (42221241), we get a palindrome (56433465).
The spelling of 14212224 in words is "fourteen million, two hundred twelve thousand, two hundred twenty-four".
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