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199717056 = 26337111979
BaseRepresentation
bin10111110011101…
…11000011000000
3111220210200022000
423321313003000
5402111421211
631452344000
74643365320
oct1371670300
9456720260
10199717056
11a280a420
1256a75000
13324b8596
141c74b280
1512800656
hexbe770c0

199717056 has 448 divisors, whose sum is σ = 780288000. Its totient is φ = 48522240.

The previous prime is 199717051. The next prime is 199717057. The reversal of 199717056 is 650717991.

199717056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199717051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2528025 + ... + 2528103.

Almost surely, 2199717056 is an apocalyptic number.

199717056 is a gapful number since it is divisible by the number (16) 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 199717056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390144000).

199717056 is an abundant number, since it is smaller than the sum of its proper divisors (580570944).

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

199717056 is a wasteful number, since it uses less digits than its factorization.

199717056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 45.

The square root of 199717056 is about 14132.1285021047. The cubic root of 199717056 is about 584.5276397325.

The spelling of 199717056 in words is "one hundred ninety-nine million, seven hundred seventeen thousand, fifty-six".