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198192168 = 23322752669
BaseRepresentation
bin10111101000000…
…10110000101000
3111210221012112200
423310002300220
5401214122133
631355540200
74624414506
oct1364026050
9453835480
10198192168
11a1968789
125645a660
13320a3495
141c471676
15125ed913
hexbd02c28

198192168 has 24 divisors (see below), whose sum is σ = 536770650. Its totient is φ = 66064032.

The previous prime is 198192161. The next prime is 198192179. The reversal of 198192168 is 861291891.

It can be written as a sum of positive squares in only one way, i.e., 130919364 + 67272804 = 11442^2 + 8202^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 (198192161) 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 5 ways as a sum of consecutive naturals, for example, 1376263 + ... + 1376406.

Almost surely, 2198192168 is an apocalyptic number.

198192168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

198192168 is an abundant number, since it is smaller than the sum of its proper divisors (338578482).

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

198192168 is a wasteful number, since it uses less digits than its factorization.

198192168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752681 (or 2752674 counting only the distinct ones).

The product of its digits is 62208, while the sum is 45.

The square root of 198192168 is about 14078.0740160009. The cubic root of 198192168 is about 583.0361674077.

It can be divided in two parts, 1981 and 92168, that added together give a palindrome (94149).

The spelling of 198192168 in words is "one hundred ninety-eight million, one hundred ninety-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2752669 5505338 8258007 11010676 16516014 22021352 24774021 33032028 49548042 66064056 99096084 198192168