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11198208 = 28372083
BaseRepresentation
bin101010101101…
…111100000000
3210001221001110
4222231330000
510331320313
61040003320
7164116560
oct52557400
923057043
1011198208
11635941a
123900540
132421078
1416b6da0
15eb2ec3
hexaadf00

11198208 has 72 divisors (see below), whose sum is σ = 34077568. Its totient is φ = 3197952.

The previous prime is 11198203. The next prime is 11198221. The reversal of 11198208 is 80289111.

It is a super-2 number, since 2×111982082 = 250799724822528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11198203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4335 + ... + 6417.

Almost surely, 211198208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11198208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17038784).

11198208 is an abundant number, since it is smaller than the sum of its proper divisors (22879360).

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

11198208 is an equidigital number, since it uses as much as digits as its factorization.

11198208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 30.

The square root of 11198208 is about 3346.3723642177. The cubic root of 11198208 is about 223.7258550978.

The spelling of 11198208 in words is "eleven million, one hundred ninety-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2083 2688 4166 5376 6249 8332 12498 14581 16664 24996 29162 33328 43743 49992 58324 66656 87486 99984 116648 133312 174972 199968 233296 266624 349944 399936 466592 533248 699888 799872 933184 1399776 1599744 1866368 2799552 3732736 5599104 11198208