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208028112 = 24319307743
BaseRepresentation
bin11000110011001…
…00000111010000
3112111102220220220
430121210013100
5411223344422
632350433040
75104131645
oct1431440720
9474386826
10208028112
11a7476666
1259802780
1334138476
141d8b1dcc
15133e2e5c
hexc6641d0

208028112 has 80 divisors (see below), whose sum is σ = 568296960. Its totient is φ = 65390976.

The previous prime is 208028111. The next prime is 208028113. The reversal of 208028112 is 211820802.

It is an interprime number because it is at equal distance from previous prime (208028111) and next prime (208028113).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208028111) 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 15 ways as a sum of consecutive naturals, for example, 279613 + ... + 280355.

It is an arithmetic number, because the mean of its divisors is an integer number (7103712).

Almost surely, 2208028112 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 208028112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284148480).

208028112 is an abundant number, since it is smaller than the sum of its proper divisors (360268848).

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

208028112 is a wasteful number, since it uses less digits than its factorization.

208028112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 208028112 is about 14423.1796771724. The cubic root of 208028112 is about 592.5259053282.

Adding to 208028112 its reverse (211820802), we get a palindrome (419848914).

The spelling of 208028112 in words is "two hundred eight million, twenty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 307 456 614 743 912 921 1228 1486 1842 2229 2456 2972 3684 4458 4912 5833 5944 7368 8916 11666 11888 14117 14736 17499 17832 23332 28234 34998 35664 42351 46664 56468 69996 84702 93328 112936 139992 169404 225872 228101 279984 338808 456202 677616 684303 912404 1368606 1824808 2737212 3649616 4333919 5474424 8667838 10948848 13001757 17335676 26003514 34671352 52007028 69342704 104014056 208028112