Base | Representation |
---|---|
bin | 101011000100… |
… | …0010001000000 |
3 | 1120111002112010 |
4 | 1112020101000 |
5 | 21240000430 |
6 | 2123532520 |
7 | 362624526 |
oct | 126102100 |
9 | 46432463 |
10 | 22578240 |
11 | 11821403 |
12 | 768a140 |
13 | 48a6b09 |
14 | 2dda316 |
15 | 1eaecb0 |
hex | 1588440 |
22578240 has 112 divisors (see below), whose sum is σ = 74249280. Its totient is φ = 5806080.
The previous prime is 22578239. The next prime is 22578277. The reversal of 22578240 is 4287522.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 22578198 and 22578207.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27435 + ... + 28245.
It is an arithmetic number, because the mean of its divisors is an integer number (662940).
Almost surely, 222578240 is an apocalyptic number.
22578240 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 22578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37124640).
22578240 is an abundant number, since it is smaller than the sum of its proper divisors (51671040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22578240 is a wasteful number, since it uses less digits than its factorization.
22578240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 860 (or 850 counting only the distinct ones).
The product of its (nonzero) digits is 8960, while the sum is 30.
The square root of 22578240 is about 4751.6565532454. The cubic root of 22578240 is about 282.6376596950.
The spelling of 22578240 in words is "twenty-two million, five hundred seventy-eight thousand, two hundred forty".
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