Base | Representation |
---|---|
bin | 101010001101… |
… | …1101001001010 |
3 | 1112122111012200 |
4 | 1110123221022 |
5 | 21131231242 |
6 | 2110221030 |
7 | 356062431 |
oct | 124335112 |
9 | 45574180 |
10 | 22133322 |
11 | 11548102 |
12 | 74b4776 |
13 | 477c453 |
14 | 2d22118 |
15 | 1e2304c |
hex | 151ba4a |
22133322 has 48 divisors (see below), whose sum is σ = 50193000. Its totient is φ = 7039872.
The previous prime is 22133299. The next prime is 22133323. The reversal of 22133322 is 22333122.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 18481401 + 3651921 = 4299^2 + 1911^2 .
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 junction number, because it is equal to n+sod(n) for n = 22133295 and 22133304.
It is not an unprimeable number, because it can be changed into a prime (22133323) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56704 + ... + 57092.
Almost surely, 222133322 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22133322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25096500).
22133322 is an abundant number, since it is smaller than the sum of its proper divisors (28059678).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22133322 is a wasteful number, since it uses less digits than its factorization.
22133322 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 535 (or 532 counting only the distinct ones).
The product of its digits is 432, while the sum is 18.
The square root of 22133322 is about 4704.6064660075. The cubic root of 22133322 is about 280.7688139569.
Adding to 22133322 its reverse (22333122), we get a palindrome (44466444).
The spelling of 22133322 in words is "twenty-two million, one hundred thirty-three thousand, three hundred twenty-two".
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