Base | Representation |
---|---|
bin | 10011000011111010… |
… | …11010001001101100 |
3 | 222102011222201112002 |
4 | 21201331122021230 |
5 | 131424224004234 |
6 | 4411241431432 |
7 | 511410440600 |
oct | 114175321154 |
9 | 28364881462 |
10 | 10233422444 |
11 | 4381555823 |
12 | 1b9719b578 |
13 | c7117746b |
14 | 6d1165500 |
15 | 3ed61a27e |
hex | 261f5a26c |
10233422444 has 72 divisors (see below), whose sum is σ = 21645973440. Its totient is φ = 4215800064.
The previous prime is 10233422443. The next prime is 10233422449. The reversal of 10233422444 is 44422433201.
10233422444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (29).
It is not an unprimeable number, because it can be changed into a prime (10233422443) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1320509 + ... + 1328235.
It is an arithmetic number, because the mean of its divisors is an integer number (300638520).
Almost surely, 210233422444 is an apocalyptic number.
10233422444 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 10233422444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10822986720).
10233422444 is an abundant number, since it is smaller than the sum of its proper divisors (11412550996).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10233422444 is a wasteful number, since it uses less digits than its factorization.
10233422444 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8007 (or 7998 counting only the distinct ones).
The product of its (nonzero) digits is 18432, while the sum is 29.
Adding to 10233422444 its reverse (44422433201), we get a palindrome (54655855645).
The spelling of 10233422444 in words is "ten billion, two hundred thirty-three million, four hundred twenty-two thousand, four hundred forty-four".
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