Base | Representation |
---|---|
bin | 101010100100… |
… | …1100010110100 |
3 | 1120000001010000 |
4 | 1111021202310 |
5 | 21203240312 |
6 | 2114231300 |
7 | 360504525 |
oct | 125114264 |
9 | 46001100 |
10 | 22321332 |
11 | 11666390 |
12 | 7585530 |
13 | 4816bb7 |
14 | 2d7084c |
15 | 1e5dadc |
hex | 15498b4 |
22321332 has 60 divisors (see below), whose sum is σ = 63667296. Its totient is φ = 6762960.
The previous prime is 22321331. The next prime is 22321337. The reversal of 22321332 is 23312322.
It is a happy number.
It is a super-3 number, since 3×223213323 (a number of 23 digits) contains 333 as substring.
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 (22321331) 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 19 ways as a sum of consecutive naturals, for example, 433 + ... + 6695.
Almost surely, 222321332 is an apocalyptic number.
22321332 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 22321332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31833648).
22321332 is an abundant number, since it is smaller than the sum of its proper divisors (41345964).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22321332 is a wasteful number, since it uses less digits than its factorization.
22321332 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6290 (or 6279 counting only the distinct ones).
The product of its digits is 432, while the sum is 18.
The square root of 22321332 is about 4724.5456924449. The cubic root of 22321332 is about 281.5615640604.
Adding to 22321332 its reverse (23312322), we get a palindrome (45633654).
The spelling of 22321332 in words is "twenty-two million, three hundred twenty-one thousand, three hundred thirty-two".
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