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1222848 = 263211193
BaseRepresentation
bin100101010100011000000
32022010102200
410222203000
5303112343
642113200
713252104
oct4524300
92263380
101222848
11765820
124ab800
1333a7a3
1423b904
151924d3
hex12a8c0

1222848 has 84 divisors (see below), whose sum is σ = 3843528. Its totient is φ = 368640.

The previous prime is 1222847. The next prime is 1222853. The reversal of 1222848 is 8482221.

It is a super-2 number, since 2×12228482 = 2990714462208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1222847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6240 + ... + 6432.

21222848 is an apocalyptic number.

1222848 is a gapful number since it is divisible by the number (18) 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 1222848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921764).

1222848 is an abundant number, since it is smaller than the sum of its proper divisors (2620680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1222848 is a wasteful number, since it uses less digits than its factorization.

1222848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 209 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 1222848 is about 1105.8245792168. The cubic root of 1222848 is about 106.9360551930.

The spelling of 1222848 in words is "one million, two hundred twenty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 193 198 264 288 352 386 396 528 576 579 704 772 792 1056 1158 1544 1584 1737 2112 2123 2316 3088 3168 3474 4246 4632 6176 6336 6369 6948 8492 9264 12352 12738 13896 16984 18528 19107 25476 27792 33968 37056 38214 50952 55584 67936 76428 101904 111168 135872 152856 203808 305712 407616 611424 1222848