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2220288 = 2837259
BaseRepresentation
bin1000011110000100000000
311011210122220
420132010000
51032022123
6115331040
724605100
oct10360400
94153586
102220288
111287154
128b0a80
135c97a5
1441b200
152dcce3
hex21e100

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".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 59 64 84 96 98 112 118 128 147 168 177 192 196 224 236 256 294 336 354 384 392 413 448 472 588 672 708 768 784 826 896 944 1176 1239 1344 1416 1568 1652 1792 1888 2352 2478 2688 2832 2891 3136 3304 3776 4704 4956 5376 5664 5782 6272 6608 7552 8673 9408 9912 11328 11564 12544 13216 15104 17346 18816 19824 22656 23128 26432 34692 37632 39648 45312 46256 52864 69384 79296 92512 105728 138768 158592 185024 277536 317184 370048 555072 740096 1110144 2220288