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14198000 = 245331229
BaseRepresentation
bin110110001010…
…010011110000
3222201022222212
4312022103300
512113314000
61224151252
7231452405
oct66122360
928638885
1014198000
118018193
124908528
132c315ab
141c582ac
1513a6c35
hexd8a4f0

14198000 has 80 divisors (see below), whose sum is σ = 35592960. Its totient is φ = 5472000.

The previous prime is 14197999. The next prime is 14198017. The reversal of 14198000 is 89141.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 61886 + ... + 62114.

It is an arithmetic number, because the mean of its divisors is an integer number (444912).

Almost surely, 214198000 is an apocalyptic number.

14198000 is a gapful number since it is divisible by the number (10) 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 14198000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17796480).

14198000 is an abundant number, since it is smaller than the sum of its proper divisors (21394960).

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

14198000 is a wasteful number, since it uses less digits than its factorization.

14198000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 14198000 is about 3768.0233544924. The cubic root of 14198000 is about 242.1451216172.

The spelling of 14198000 in words is "fourteen million, one hundred ninety-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 229 248 250 310 400 458 496 500 620 775 916 1000 1145 1240 1550 1832 2000 2290 2480 3100 3664 3875 4580 5725 6200 7099 7750 9160 11450 12400 14198 15500 18320 22900 28396 28625 31000 35495 45800 56792 57250 62000 70990 91600 113584 114500 141980 177475 229000 283960 354950 458000 567920 709900 887375 1419800 1774750 2839600 3549500 7099000 14198000