Search a number
-
+
198582208 = 2611311907
BaseRepresentation
bin10111101011000…
…01111111000000
3111211200000120121
423311201333000
5401314112313
631412150024
74630630606
oct1365417700
9454600517
10198582208
11a2104830
1256608314
13321abb86
141c533876
151267928d
hexbd61fc0

198582208 has 56 divisors (see below), whose sum is σ = 431743104. Its totient is φ = 89875200.

The previous prime is 198582203. The next prime is 198582217. The reversal of 198582208 is 802285891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198582203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218491 + ... + 219397.

Almost surely, 2198582208 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 198582208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215871552).

198582208 is an abundant number, since it is smaller than the sum of its proper divisors (233160896).

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

198582208 is a wasteful number, since it uses less digits than its factorization.

198582208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 43.

The square root of 198582208 is about 14091.9199543568. The cubic root of 198582208 is about 583.4183863647.

The spelling of 198582208 in words is "one hundred ninety-eight million, five hundred eighty-two thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 311 352 622 704 907 1244 1814 2488 3421 3628 4976 6842 7256 9952 9977 13684 14512 19904 19954 27368 29024 39908 54736 58048 79816 109472 159632 218944 282077 319264 564154 638528 1128308 2256616 3102847 4513232 6205694 9026464 12411388 18052928 24822776 49645552 99291104 198582208