Base | Representation |
---|---|
bin | 1000011111011111001000 |
3 | 11012002122220 |
4 | 20133133020 |
5 | 1032213440 |
6 | 115414040 |
7 | 24631101 |
oct | 10373710 |
9 | 4162586 |
10 | 2226120 |
11 | 1290576 |
12 | 8b4320 |
13 | 5cc340 |
14 | 41d3a8 |
15 | 2de8d0 |
hex | 21f7c8 |
2226120 has 64 divisors (see below), whose sum is σ = 7197120. Its totient is φ = 547584.
The previous prime is 2226089. The next prime is 2226131. The reversal of 2226120 is 216222.
2226120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×22261202 = 9911220508800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 2226120.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 847 + ... + 2273.
It is an arithmetic number, because the mean of its divisors is an integer number (112455).
22226120 is an apocalyptic number.
2226120 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 2226120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598560).
2226120 is an abundant number, since it is smaller than the sum of its proper divisors (4971000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2226120 is a wasteful number, since it uses less digits than its factorization.
2226120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1454 (or 1450 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 15.
The square root of 2226120 is about 1492.0187666380. The cubic root of 2226120 is about 130.5718398949.
It can be divided in two parts, 2226 and 120, that added together give a triangular number (2346 = T68).
The spelling of 2226120 in words is "two million, two hundred twenty-six thousand, one hundred twenty".
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