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198148140 = 22335366941
BaseRepresentation
bin10111100111110…
…00000000101100
3111210211222011000
423303320000230
5401211220030
631355000300
74624142241
oct1363700054
9453758130
10198148140
11a19386a3
1256439090
1332089428
141c45d5c8
15125e0860
hexbcf802c

198148140 has 48 divisors (see below), whose sum is σ = 616462560. Its totient is φ = 52839360.

The previous prime is 198148133. The next prime is 198148177. The reversal of 198148140 is 41841891.

It is a super-3 number, since 3×1981481403 (a number of 26 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 198148095 and 198148104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182931 + ... + 184010.

It is an arithmetic number, because the mean of its divisors is an integer number (12842970).

Almost surely, 2198148140 is an apocalyptic number.

198148140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198148140 is an abundant number, since it is smaller than the sum of its proper divisors (418314420).

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

198148140 is a wasteful number, since it uses less digits than its factorization.

198148140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366959 (or 366951 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 198148140 is about 14076.5102209319. The cubic root of 198148140 is about 582.9929907647.

The spelling of 198148140 in words is "one hundred ninety-eight million, one hundred forty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 366941 733882 1100823 1467764 1834705 2201646 3302469 3669410 4403292 5504115 6604938 7338820 9907407 11008230 13209876 16512345 19814814 22016460 33024690 39629628 49537035 66049380 99074070 198148140