Base | Representation |
---|---|
bin | 10100111001110001… |
… | …00111011110100000 |
3 | 1001222002012210020020 |
4 | 22130320213132200 |
5 | 140440314201143 |
6 | 5053314513440 |
7 | 545043420306 |
oct | 123470473640 |
9 | 31862183206 |
10 | 11222022048 |
11 | 48395a2296 |
12 | 2212295880 |
13 | 109ac22543 |
14 | 786586276 |
15 | 45a2e8883 |
hex | 29ce277a0 |
11222022048 has 96 divisors (see below), whose sum is σ = 31585800960. Its totient is φ = 3476029440.
The previous prime is 11222022047. The next prime is 11222022061. The reversal of 11222022048 is 84022022211.
11222022048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×112220220482 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (11222022047) 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 15 ways as a sum of consecutive naturals, for example, 85408 + ... + 172448.
It is an arithmetic number, because the mean of its divisors is an integer number (329018760).
Almost surely, 211222022048 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 11222022048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15792900480).
11222022048 is an abundant number, since it is smaller than the sum of its proper divisors (20363778912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11222022048 is a wasteful number, since it uses less digits than its factorization.
11222022048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 87150 (or 87142 counting only the distinct ones).
The product of its (nonzero) digits is 1024, while the sum is 24.
Adding to 11222022048 its reverse (84022022211), we get a palindrome (95244044259).
It can be divided in two parts, 1122202 and 2048, that added together give a triangular number (1124250 = T1499).
The spelling of 11222022048 in words is "eleven billion, two hundred twenty-two million, twenty-two thousand, forty-eight".
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