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199668672 = 2633717971
BaseRepresentation
bin10111110011010…
…11001111000000
3111220201012221000
423321223033000
5402103344142
631451332000
74643104260
oct1371531700
9456635830
10199668672
11a2787035
1256a51000
133249c558
141c7377a0
15127e114c
hexbe6b3c0

199668672 has 224 divisors, whose sum is σ = 711037440. Its totient is φ = 53637120.

The previous prime is 199668671. The next prime is 199668673. The reversal of 199668672 is 276866991.

199668672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (199668671) and next prime (199668673).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199668671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205147 + ... + 206117.

Almost surely, 2199668672 is an apocalyptic number.

199668672 is a gapful number since it is divisible by the number (12) 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 199668672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355518720).

199668672 is an abundant number, since it is smaller than the sum of its proper divisors (511368768).

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

199668672 is a wasteful number, since it uses less digits than its factorization.

199668672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1000 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 199668672 is about 14130.4165543695. The cubic root of 199668672 is about 584.4804328321.

The spelling of 199668672 in words is "one hundred ninety-nine million, six hundred sixty-eight thousand, six hundred seventy-two".