Base | Representation |
---|---|
bin | 101010001110… |
… | …0001011001100 |
3 | 1112122121012100 |
4 | 1110130023030 |
5 | 21131314000 |
6 | 2110235100 |
7 | 356101662 |
oct | 124341314 |
9 | 45577170 |
10 | 22135500 |
11 | 11549802 |
12 | 74b5a90 |
13 | 478043a |
14 | 2d22c32 |
15 | 1e23a00 |
hex | 151c2cc |
22135500 has 72 divisors (see below), whose sum is σ = 69844320. Its totient is φ = 5901600.
The previous prime is 22135493. The next prime is 22135507. The reversal of 22135500 is 553122.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (22135493) and next prime (22135507).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22135507) 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 23 ways as a sum of consecutive naturals, for example, 2041 + ... + 6959.
It is an arithmetic number, because the mean of its divisors is an integer number (970060).
Almost surely, 222135500 is an apocalyptic number.
22135500 is a gapful number since it is divisible by the number (20) 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 22135500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34922160).
22135500 is an abundant number, since it is smaller than the sum of its proper divisors (47708820).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22135500 is a wasteful number, since it uses less digits than its factorization.
22135500 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4944 (or 4929 counting only the distinct ones).
The product of its (nonzero) digits is 300, while the sum is 18.
The square root of 22135500 is about 4704.8379355723. The cubic root of 22135500 is about 280.7780232149.
Adding to 22135500 its reverse (553122), we get a palindrome (22688622).
It can be divided in two parts, 221 and 35500, that added together give a square (35721 = 1892).
The spelling of 22135500 in words is "twenty-two million, one hundred thirty-five thousand, five hundred".
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