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198481500 = 22325376301
BaseRepresentation
bin10111101010010…
…01011001011100
3111211110220102200
423311021121130
5401302402000
631410051500
74630031160
oct1365113134
9454426380
10198481500
11a20460a8
1256579b90
1332175099
141c508ca0
1512659500
hexbd4965c

198481500 has 144 divisors (see below), whose sum is σ = 715705536. Its totient is φ = 45360000.

The previous prime is 198481489. The next prime is 198481501. The reversal of 198481500 is 5184891.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198481501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28350 + ... + 34650.

Almost surely, 2198481500 is an apocalyptic number.

198481500 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 198481500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357852768).

198481500 is an abundant number, since it is smaller than the sum of its proper divisors (517224036).

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

198481500 is a wasteful number, since it uses less digits than its factorization.

198481500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6333 (or 6318 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 198481500 is about 14088.3462478745. The cubic root of 198481500 is about 583.3197457153.

The spelling of 198481500 in words is "one hundred ninety-eight million, four hundred eighty-one thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 125 126 140 150 175 180 210 225 250 252 300 315 350 375 420 450 500 525 630 700 750 875 900 1050 1125 1260 1500 1575 1750 2100 2250 2625 3150 3500 4500 5250 6300 6301 7875 10500 12602 15750 18903 25204 31500 31505 37806 44107 56709 63010 75612 88214 94515 113418 126020 132321 157525 176428 189030 220535 226836 264642 283545 315050 378060 396963 441070 472575 529284 567090 630100 661605 787625 793926 882140 945150 1102675 1134180 1323210 1417725 1575250 1587852 1890300 1984815 2205350 2362875 2646420 2835450 3150500 3308025 3969630 4410700 4725750 5513375 5670900 6616050 7088625 7939260 9451500 9924075 11026750 13232100 14177250 16540125 19848150 22053500 28354500 33080250 39696300 49620375 66160500 99240750 198481500