Base | Representation |
---|---|
bin | 1000011111101110110000 |
3 | 11012011000221 |
4 | 20133232300 |
5 | 1032231440 |
6 | 115422424 |
7 | 24634030 |
oct | 10375660 |
9 | 4164027 |
10 | 2227120 |
11 | 12912a5 |
12 | 8b4a14 |
13 | 5cc92c |
14 | 41d8c0 |
15 | 2ded4a |
hex | 21fbb0 |
2227120 has 80 divisors (see below), whose sum is σ = 6124608. Its totient is φ = 737280.
The previous prime is 2227109. The next prime is 2227129. The reversal of 2227120 is 217222.
2227120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 2227094 and 2227103.
It is not an unprimeable number, because it can be changed into a prime (2227129) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22912 + ... + 23008.
22227120 is an apocalyptic number.
2227120 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 2227120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062304).
2227120 is an abundant number, since it is smaller than the sum of its proper divisors (3897488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2227120 is a wasteful number, since it uses less digits than its factorization.
2227120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 158 (or 152 counting only the distinct ones).
The product of its (nonzero) digits is 112, while the sum is 16.
The square root of 2227120 is about 1492.3538454401. The cubic root of 2227120 is about 130.5913884507.
The spelling of 2227120 in words is "two million, two hundred twenty-seven thousand, one hundred twenty".
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