Base | Representation |
---|---|
bin | 101010001101… |
… | …1010111101000 |
3 | 1112122102200010 |
4 | 1110123113220 |
5 | 21131212300 |
6 | 2110211520 |
7 | 356056236 |
oct | 124332750 |
9 | 45572603 |
10 | 22132200 |
11 | 11547282 |
12 | 74b3ba0 |
13 | 477ba9c |
14 | 2d21956 |
15 | 1e22a50 |
hex | 151b5e8 |
22132200 has 48 divisors (see below), whose sum is σ = 68611680. Its totient is φ = 5901760.
The previous prime is 22132189. The next prime is 22132211. The reversal of 22132200 is 223122.
It is an interprime number because it is at equal distance from previous prime (22132189) and next prime (22132211).
It is a super-3 number, since 3×221322003 (a number of 23 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17844 + ... + 19043.
It is an arithmetic number, because the mean of its divisors is an integer number (1429410).
Almost surely, 222132200 is an apocalyptic number.
22132200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
22132200 is an abundant number, since it is smaller than the sum of its proper divisors (46479480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22132200 is a wasteful number, since it uses less digits than its factorization.
22132200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 36906 (or 36897 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 12.
The square root of 22132200 is about 4704.4872196659. The cubic root of 22132200 is about 280.7640695579.
Adding to 22132200 its reverse (223122), we get a palindrome (22355322).
The spelling of 22132200 in words is "twenty-two million, one hundred thirty-two thousand, two hundred".
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