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199854540 = 223451943151
BaseRepresentation
bin10111110100110…
…00100111001100
3111221001122220000
423322120213030
5402130321130
631455324300
74644510204
oct1372304714
9457048800
10199854540
11a28a3746
1256b20690
1332536032
141c785404
151282b260
hexbe989cc

199854540 has 240 divisors, whose sum is σ = 679768320. Its totient is φ = 48988800.

The previous prime is 199854539. The next prime is 199854593. The reversal of 199854540 is 45458991.

199854540 is a `hidden beast` number, since 19 + 98 + 5 + 4 + 540 = 666.

199854540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1998545402 = 79883674317223200, which contains 22 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 a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1323465 + ... + 1323615.

It is an arithmetic number, because the mean of its divisors is an integer number (2832368).

Almost surely, 2199854540 is an apocalyptic number.

199854540 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 199854540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339884160).

199854540 is an abundant number, since it is smaller than the sum of its proper divisors (479913780).

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

199854540 is a wasteful number, since it uses less digits than its factorization.

199854540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 199854540 is about 14136.9919006838. The cubic root of 199854540 is about 584.6617373841.

The spelling of 199854540 in words is "one hundred ninety-nine million, eight hundred fifty-four thousand, five hundred forty".