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199148544 = 2103474
BaseRepresentation
bin10111101111011…
…00010000000000
3111212201210110000
423313230100000
5401440223134
631432240000
74635510000
oct1367542000
9455653400
10199148544
11a2461281
1256840000
133234989a
141c640000
151273be99
hexbdec400

199148544 has 275 divisors, whose sum is σ = 693771287. Its totient is φ = 56899584.

The previous prime is 199148533. The next prime is 199148549. The reversal of 199148544 is 445841991.

It is a happy number.

The square root of 199148544 is 14112.

It is a perfect power (a square), and thus also a powerful number.

199148544 is a `hidden beast` number, since 1 + 99 + 14 + 8 + 544 = 666.

It is an ABA number since it can be written as A⋅BA, here for A=4, B=84.

It is a Duffinian number.

Its product of digits (207360) is a multiple of the sum of its prime divisors (12).

It is a self number, because there is not a number n which added to its sum of digits gives 199148544.

It is not an unprimeable number, because it can be changed into a prime (199148549) by changing a digit.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 28449789 + ... + 28449795.

Almost surely, 2199148544 is an apocalyptic number.

199148544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

199148544 is the 14112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199148544

199148544 is an abundant number, since it is smaller than the sum of its proper divisors (494622743).

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

199148544 is an frugal number, since it uses more digits than its factorization.

199148544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 12 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The cubic root of 199148544 is about 583.9724763409.

The spelling of 199148544 in words is "one hundred ninety-nine million, one hundred forty-eight thousand, five hundred forty-four".