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198146088 = 2335714561
BaseRepresentation
bin10111100111101…
…11100000101000
3111210211212100000
423303313200220
5401211133323
631354543000
74624133250
oct1363674050
9453755300
10198146088
11a19370a8
1256437a60
133208850a
141c45c960
15125dee43
hexbcf7828

198146088 has 96 divisors (see below), whose sum is σ = 636068160. Its totient is φ = 56609280.

The previous prime is 198146087. The next prime is 198146159. The reversal of 198146088 is 880641891.

It is a super-3 number, since 3×1981460883 (a number of 26 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (198146087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6328 + ... + 20888.

It is an arithmetic number, because the mean of its divisors is an integer number (6625710).

Almost surely, 2198146088 is an apocalyptic number.

198146088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198146088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318034080).

198146088 is an abundant number, since it is smaller than the sum of its proper divisors (437922072).

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

198146088 is a wasteful number, since it uses less digits than its factorization.

198146088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14589 (or 14573 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 198146088 is about 14076.4373333596. The cubic root of 198146088 is about 582.9909782877.

The spelling of 198146088 in words is "one hundred ninety-eight million, one hundred forty-six thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 972 1134 1512 1701 1944 2268 3402 4536 6804 13608 14561 29122 43683 58244 87366 101927 116488 131049 174732 203854 262098 305781 349464 393147 407708 524196 611562 786294 815416 917343 1048392 1179441 1223124 1572588 1834686 2358882 2446248 2752029 3145176 3538323 3669372 4717764 5504058 7076646 7338744 8256087 9435528 11008116 14153292 16512174 22016232 24768261 28306584 33024348 49536522 66048696 99073044 198146088