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112800198 = 23729372503
BaseRepresentation
bin1101011100100…
…11000111000110
321212020211210010
412232103013012
5212334101243
615105411050
72536533360
oct656230706
9255224703
10112800198
1158744505
1231939a86
131a4a5aa4
1410da3d30
159d82433
hex6b931c6

112800198 has 64 divisors (see below), whose sum is σ = 274037760. Its totient is φ = 30264192.

The previous prime is 112800197. The next prime is 112800199. The reversal of 112800198 is 891008211.

It is an interprime number because it is at equal distance from previous prime (112800197) and next prime (112800199).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112800197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43815 + ... + 46317.

It is an arithmetic number, because the mean of its divisors is an integer number (4281840).

Almost surely, 2112800198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112800198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137018880).

112800198 is an abundant number, since it is smaller than the sum of its proper divisors (161237562).

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

112800198 is a wasteful number, since it uses less digits than its factorization.

112800198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2581.

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

The square root of 112800198 is about 10620.7437592666. The cubic root of 112800198 is about 483.1737005398.

The spelling of 112800198 in words is "one hundred twelve million, eight hundred thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 14 21 29 37 42 58 74 87 111 174 203 222 259 406 518 609 777 1073 1218 1554 2146 2503 3219 5006 6438 7509 7511 15018 15022 17521 22533 35042 45066 52563 72587 92611 105126 145174 185222 217761 277833 435522 508109 555666 648277 1016218 1296554 1524327 1944831 2685719 3048654 3889662 5371438 8057157 16114314 18800033 37600066 56400099 112800198