Base | Representation |
---|---|
bin | 101010011011… |
… | …0101100010000 |
3 | 1112212010012000 |
4 | 1110312230100 |
5 | 21143302422 |
6 | 2112434000 |
7 | 360033432 |
oct | 124665420 |
9 | 45763160 |
10 | 22244112 |
11 | 11613370 |
12 | 7548900 |
13 | 47ba9c7 |
14 | 2d50652 |
15 | 1e45cac |
hex | 1536b10 |
22244112 has 160 divisors (see below), whose sum is σ = 72376320. Its totient is φ = 6480000.
The previous prime is 22244111. The next prime is 22244119. The reversal of 22244112 is 21144222.
22244112 is a `hidden beast` number, since 222 + 441 + 1 + 2 = 666.
It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22244111) 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 31 ways as a sum of consecutive naturals, for example, 147237 + ... + 147387.
It is an arithmetic number, because the mean of its divisors is an integer number (452352).
Almost surely, 222244112 is an apocalyptic number.
22244112 is a gapful number since it is divisible by the number (22) 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 22244112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36188160).
22244112 is an abundant number, since it is smaller than the sum of its proper divisors (50132208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22244112 is a wasteful number, since it uses less digits than its factorization.
22244112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 210 (or 198 counting only the distinct ones).
The product of its digits is 256, while the sum is 18.
The square root of 22244112 is about 4716.3663979805. The cubic root of 22244112 is about 281.2365042413.
Adding to 22244112 its reverse (21144222), we get a palindrome (43388334).
It can be divided in two parts, 2224 and 4112, that added together give a palindrome (6336).
The spelling of 22244112 in words is "twenty-two million, two hundred forty-four thousand, one hundred twelve".
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