| Base | Representation |
|---|---|
| bin | 101001111101… |
| … | …1100101010000 |
| 3 | 1112101211001220 |
| 4 | 1103323211100 |
| 5 | 21113031000 |
| 6 | 2103325040 |
| 7 | 355004526 |
| oct | 123734520 |
| 9 | 45354056 |
| 10 | 22002000 |
| 11 | 11468479 |
| 12 | 7450780 |
| 13 | 4734747 |
| 14 | 2cca316 |
| 15 | 1de91a0 |
| hex | 14fb950 |
22002000 has 160 divisors (see below), whose sum is σ = 75054720. Its totient is φ = 5529600.
The previous prime is 22001999. The next prime is 22002011. The reversal of 22002000 is 20022.
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a self number, because there is not a number n which added to its sum of digits gives 22002000.
It is a congruent number.
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 31 ways as a sum of consecutive naturals, for example, 113904 + ... + 114096.
It is an arithmetic number, because the mean of its divisors is an integer number (469092).
Almost surely, 222002000 is an apocalyptic number.
22002000 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 22002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37527360).
22002000 is an abundant number, since it is smaller than the sum of its proper divisors (53052720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22002000 is a wasteful number, since it uses less digits than its factorization.
22002000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 238 (or 222 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 6.
The square root of 22002000 is about 4690.6289556945. The cubic root of 22002000 is about 280.2124238365.
Adding to 22002000 its reverse (20022), we get a palindrome (22022022).
It can be divided in two parts, 2 and 2002000, that added together give a palindrome (2002002).
The spelling of 22002000 in words is "twenty-two million, two thousand".
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