Base | Representation |
---|---|
bin | 100110001110… |
… | …110100000000 |
3 | 200212011210112 |
4 | 212032310000 |
5 | 10031202034 |
6 | 554450452 |
7 | 151121036 |
oct | 46166400 |
9 | 20764715 |
10 | 10022144 |
11 | 5725870 |
12 | 3433a28 |
13 | 20cb982 |
14 | 148c556 |
15 | d2e7ce |
hex | 98ed00 |
10022144 has 36 divisors (see below), whose sum is σ = 21829920. Its totient is φ = 4554240.
The previous prime is 10022143. The next prime is 10022149. The reversal of 10022144 is 44122001.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10022143) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1037 + ... + 4595.
Almost surely, 210022144 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 10022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10914960).
10022144 is an abundant number, since it is smaller than the sum of its proper divisors (11807776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10022144 is an equidigital number, since it uses as much as digits as its factorization.
10022144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3586 (or 3572 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 14.
The square root of 10022144 is about 3165.7769978317. The cubic root of 10022144 is about 215.6023777709.
Adding to 10022144 its reverse (44122001), we get a palindrome (54144145).
The spelling of 10022144 in words is "ten million, twenty-two thousand, one hundred forty-four".
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