Base | Representation |
---|---|
bin | 1000011110000100000000 |
3 | 11011210122220 |
4 | 20132010000 |
5 | 1032022123 |
6 | 115331040 |
7 | 24605100 |
oct | 10360400 |
9 | 4153586 |
10 | 2220288 |
11 | 1287154 |
12 | 8b0a80 |
13 | 5c97a5 |
14 | 41b200 |
15 | 2dcce3 |
hex | 21e100 |
2220288 has 108 divisors (see below), whose sum is σ = 6990480. Its totient is φ = 623616.
The previous prime is 2220277. The next prime is 2220289. The reversal of 2220288 is 8820222.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a d-powerful number, because it can be written as 28 + 213 + 214 + 0 + 216 + 85 + 87 .
It is not an unprimeable number, because it can be changed into a prime (2220289) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37603 + ... + 37661.
22220288 is an apocalyptic number.
2220288 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 2220288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495240).
2220288 is an abundant number, since it is smaller than the sum of its proper divisors (4770192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2220288 is an equidigital number, since it uses as much as digits as its factorization.
2220288 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 92 (or 71 counting only the distinct ones).
The product of its (nonzero) digits is 1024, while the sum is 24.
The square root of 2220288 is about 1490.0630859128. The cubic root of 2220288 is about 130.4577159289.
The spelling of 2220288 in words is "two million, two hundred twenty thousand, two hundred eighty-eight".
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