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99198 = 23311167
BaseRepresentation
bin11000001101111110
312001002000
4120031332
511133243
62043130
7562131
oct301576
9161060
1099198
1168590
12494a6
13361c8
1428218
151e5d3
hex1837e

99198 has 32 divisors (see below), whose sum is σ = 241920. Its totient is φ = 29880.

The previous prime is 99191. The next prime is 99223. The reversal of 99198 is 89199.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 99198.

It is not an unprimeable number, because it can be changed into a prime (99191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 511 + ... + 677.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

299198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960).

99198 is an abundant number, since it is smaller than the sum of its proper divisors (142722).

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

99198 is a wasteful number, since it uses less digits than its factorization.

99198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 183 counting only the distinct ones).

The product of its digits is 5832, while the sum is 36.

The square root of 99198 is about 314.9571399413. The cubic root of 99198 is about 46.2914699877.

Multiplying 99198 by its sum of digits (36), we get a triangular number (3571128 = T2672).

Subtracting from 99198 its reverse (89199), we obtain a palindrome (9999).

It can be divided in two parts, 991 and 98, that added together give a square (1089 = 332).

The spelling of 99198 in words is "ninety-nine thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 167 198 297 334 501 594 1002 1503 1837 3006 3674 4509 5511 9018 11022 16533 33066 49599 99198