| Base | Representation |
|---|---|
| bin | 101011001100… |
| … | …0101111100000 |
| 3 | 1120121112002200 |
| 4 | 1112120233200 |
| 5 | 21244130403 |
| 6 | 2125213200 |
| 7 | 363325350 |
| oct | 126305740 |
| 9 | 46545080 |
| 10 | 22645728 |
| 11 | 11868086 |
| 12 | 7701200 |
| 13 | 48cb751 |
| 14 | 3016b60 |
| 15 | 1ec4ca3 |
| hex | 1598be0 |
22645728 has 144 divisors (see below), whose sum is σ = 75479040. Its totient is φ = 6306048.
The previous prime is 22645709. The next prime is 22645729. The reversal of 22645728 is 82754622.
22645728 is a `hidden beast` number, since 2 + 2 + 645 + 7 + 2 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 22645692 and 22645701.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22645729) 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, 94633 + ... + 94871.
It is an arithmetic number, because the mean of its divisors is an integer number (524160).
Almost surely, 222645728 is an apocalyptic number.
22645728 is a gapful number since it is divisible by the number (28) 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 22645728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37739520).
22645728 is an abundant number, since it is smaller than the sum of its proper divisors (52833312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22645728 is a wasteful number, since it uses less digits than its factorization.
22645728 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 309 (or 298 counting only the distinct ones).
The product of its digits is 53760, while the sum is 36.
The square root of 22645728 is about 4758.7527777770. The cubic root of 22645728 is about 282.9189877451.
It can be divided in two parts, 226 and 45728, that added together give a palindrome (45954).
The spelling of 22645728 in words is "twenty-two million, six hundred forty-five thousand, seven hundred twenty-eight".
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