| Base | Representation |
|---|---|
| bin | 101010110001… |
| … | …1100101100000 |
| 3 | 1120012110102200 |
| 4 | 1111203211200 |
| 5 | 21220144000 |
| 6 | 2120413200 |
| 7 | 361430520 |
| oct | 125434540 |
| 9 | 46173380 |
| 10 | 22428000 |
| 11 | 11729541 |
| 12 | 7617200 |
| 13 | 485360a |
| 14 | 2d9b680 |
| 15 | 1e80500 |
| hex | 1563960 |
22428000 has 288 divisors, whose sum is σ = 91990080. Its totient is φ = 5068800.
The previous prime is 22427989. The next prime is 22428001. The reversal of 22428000 is 82422.
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22428001) 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 47 ways as a sum of consecutive naturals, for example, 251956 + ... + 252044.
It is an arithmetic number, because the mean of its divisors is an integer number (319410).
Almost surely, 222428000 is an apocalyptic number.
22428000 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 22428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45995040).
22428000 is an abundant number, since it is smaller than the sum of its proper divisors (69562080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22428000 is a wasteful number, since it uses less digits than its factorization.
22428000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 127 (or 106 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 22428000 is about 4735.8209425611. The cubic root of 22428000 is about 282.0093553558.
It can be divided in two parts, 224 and 28000, that added together give a square (28224 = 1682).
The spelling of 22428000 in words is "twenty-two million, four hundred twenty-eight thousand".
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