Base | Representation |
---|---|
bin | 1100101000111… |
… | …00010101010000 |
3 | 21101111111011001 |
4 | 12110130111100 |
5 | 204120202344 |
6 | 14304231344 |
7 | 2425113460 |
oct | 624342520 |
9 | 241444131 |
10 | 106022224 |
11 | 54935080 |
12 | 2b60b554 |
13 | 18c71959 |
14 | 1011bba0 |
15 | 9493ed4 |
hex | 651c550 |
106022224 has 80 divisors (see below), whose sum is σ = 261697536. Its totient is φ = 40406400.
The previous prime is 106022221. The next prime is 106022239. The reversal of 106022224 is 422220601.
It is a super-2 number, since 2×1060222242 = 22481423963812352, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106022221) 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 15 ways as a sum of consecutive naturals, for example, 56989 + ... + 58819.
Almost surely, 2106022224 is an apocalyptic number.
106022224 is a gapful number since it is divisible by the number (14) 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 106022224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130848768).
106022224 is an abundant number, since it is smaller than the sum of its proper divisors (155675312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106022224 is a wasteful number, since it uses less digits than its factorization.
106022224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1904 (or 1898 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 19.
The square root of 106022224 is about 10296.7093772719. The cubic root of 106022224 is about 473.2954215927.
Adding to 106022224 its reverse (422220601), we get a palindrome (528242825).
The spelling of 106022224 in words is "one hundred six million, twenty-two thousand, two hundred twenty-four".
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