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198441 = 32171297
BaseRepresentation
bin110000011100101001
3101002012200
4300130221
522322231
64130413
71454355
oct603451
9332180
10198441
11126101
1296a09
136c429
1452465
153dbe6
hex30729

198441 has 12 divisors (see below), whose sum is σ = 303732. Its totient is φ = 124416.

The previous prime is 198439. The next prime is 198461. The reversal of 198441 is 144891.

It can be written as a sum of positive squares in 2 ways, for example, as 184041 + 14400 = 429^2 + 120^2 .

It is not a de Polignac number, because 198441 - 21 = 198439 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (198461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 496 + ... + 801.

It is an arithmetic number, because the mean of its divisors is an integer number (25311).

2198441 is an apocalyptic number.

It is an amenable number.

198441 is a deficient number, since it is larger than the sum of its proper divisors (105291).

198441 is a wasteful number, since it uses less digits than its factorization.

198441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1317 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 198441 is about 445.4671705075. The cubic root of 198441 is about 58.3280067699.

It can be divided in two parts, 1984 and 41, that added together give a square (2025 = 452).

The spelling of 198441 in words is "one hundred ninety-eight thousand, four hundred forty-one".

Divisors: 1 3 9 17 51 153 1297 3891 11673 22049 66147 198441