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199347840 = 2732553653
BaseRepresentation
bin10111110000111…
…00111010000000
3111220002220211100
423320130322000
5402013112330
631440414400
74640300016
oct1370347200
9456086740
10199347840
11a2587a8a
1256917400
13323b9503
141c6928b6
151277b060
hexbe1ce80

199347840 has 192 divisors, whose sum is σ = 702435240. Its totient is φ = 52076544.

The previous prime is 199347833. The next prime is 199347853. The reversal of 199347840 is 48743991.

199347840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 155151936 + 44195904 = 12456^2 + 6648^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1993478402 = 79479122625331200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 304954 + ... + 305606.

Almost surely, 2199347840 is an apocalyptic number.

199347840 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 199347840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351217620).

199347840 is an abundant number, since it is smaller than the sum of its proper divisors (503087400).

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

199347840 is a wasteful number, since it uses less digits than its factorization.

199347840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 199347840 is about 14119.0594587600. The cubic root of 199347840 is about 584.1672130179.

The spelling of 199347840 in words is "one hundred ninety-nine million, three hundred forty-seven thousand, eight hundred forty".