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199609080 = 233511376167
BaseRepresentation
bin10111110010111…
…00101011111000
3111220121012011220
423321130223320
5402044442310
631450152040
74642435446
oct1371345370
9456535156
10199609080
11a2746290
1256a22620
133247b3a8
141c71db96
15127cd670
hexbe5caf8

199609080 has 256 divisors, whose sum is σ = 692098560. Its totient is φ = 45619200.

The previous prime is 199609057. The next prime is 199609097. The reversal of 199609080 is 80906991.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2979207 + ... + 2979273.

It is an arithmetic number, because the mean of its divisors is an integer number (2703510).

Almost surely, 2199609080 is an apocalyptic number.

199609080 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 199609080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346049280).

199609080 is an abundant number, since it is smaller than the sum of its proper divisors (492489480).

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

199609080 is a wasteful number, since it uses less digits than its factorization.

199609080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 42.

The square root of 199609080 is about 14128.3077542924. The cubic root of 199609080 is about 584.4222801213.

The spelling of 199609080 in words is "one hundred ninety-nine million, six hundred nine thousand, eighty".