Base | Representation |
---|---|
bin | 1100101010011… |
… | …01101001101101 |
3 | 21101212202021000 |
4 | 12111031221231 |
5 | 204143133422 |
6 | 14312430513 |
7 | 2426614440 |
oct | 625155155 |
9 | 241782230 |
10 | 106224237 |
11 | 54a62929 |
12 | 2b6a8439 |
13 | 190128a2 |
14 | 10171657 |
15 | 94d3cac |
hex | 654da6d |
106224237 has 32 divisors (see below), whose sum is σ = 180588800. Its totient is φ = 60450624.
The previous prime is 106224229. The next prime is 106224247. The reversal of 106224237 is 732422601.
106224237 is a `hidden beast` number, since 1 + 0 + 622 + 4 + 2 + 37 = 666.
It is not a de Polignac number, because 106224237 - 23 = 106224229 is a prime.
It is a super-2 number, since 2×1062242372 = 22567177052464338, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a self number, because there is not a number n which added to its sum of digits gives 106224237.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106224247) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51339 + ... + 53367.
It is an arithmetic number, because the mean of its divisors is an integer number (5643400).
Almost surely, 2106224237 is an apocalyptic number.
It is an amenable number.
106224237 is a deficient number, since it is larger than the sum of its proper divisors (74364563).
106224237 is a wasteful number, since it uses less digits than its factorization.
106224237 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2322 (or 2316 counting only the distinct ones).
The product of its (nonzero) digits is 4032, while the sum is 27.
The square root of 106224237 is about 10306.5142992187. The cubic root of 106224237 is about 473.5958339744.
Adding to 106224237 its reverse (732422601), we get a palindrome (838646838).
The spelling of 106224237 in words is "one hundred six million, two hundred twenty-four thousand, two hundred thirty-seven".
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