Base | Representation |
---|---|
bin | 101010011111… |
… | …0010000000000 |
3 | 1112220200122200 |
4 | 1110332100000 |
5 | 21200300242 |
6 | 2113233200 |
7 | 360222621 |
oct | 124762000 |
9 | 45820580 |
10 | 22275072 |
11 | 11634656 |
12 | 7562800 |
13 | 47cbb21 |
14 | 2d5ba48 |
15 | 1e5004c |
hex | 153e400 |
22275072 has 66 divisors (see below), whose sum is σ = 64345398. Its totient is φ = 7421952.
The previous prime is 22275061. The next prime is 22275101. The reversal of 22275072 is 27057222.
It is a happy number.
It can be written as a sum of positive squares in only one way, i.e., 22127616 + 147456 = 4704^2 + 384^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8008 + ... + 10424.
Almost surely, 222275072 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22275072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32172699).
22275072 is an abundant number, since it is smaller than the sum of its proper divisors (42070326).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22275072 is a wasteful number, since it uses less digits than its factorization.
22275072 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2443 (or 2422 counting only the distinct ones).
The product of its (nonzero) digits is 3920, while the sum is 27.
The square root of 22275072 is about 4719.6474444602. The cubic root of 22275072 is about 281.3669214607.
The spelling of 22275072 in words is "twenty-two million, two hundred seventy-five thousand, seventy-two".
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