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196322112 = 26327232973
BaseRepresentation
bin10111011001110…
…10001101000000
3111200102012022100
423230322031000
5400224301422
631251510400
74602465450
oct1354721500
9450365270
10196322112
11a0900788
12558b8400
133189a23c
141c105d60
151237e7ac
hexbb3a340

196322112 has 336 divisors, whose sum is σ = 703722240. Its totient is φ = 51093504.

The previous prime is 196322099. The next prime is 196322153. The reversal of 196322112 is 211223691.

196322112 is a `hidden beast` number, since 1 + 9 + 632 + 21 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2689308 + ... + 2689380.

Almost surely, 2196322112 is an apocalyptic number.

196322112 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 196322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351861120).

196322112 is an abundant number, since it is smaller than the sum of its proper divisors (507400128).

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

196322112 is a wasteful number, since it uses less digits than its factorization.

196322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 137 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 196322112 is about 14011.4992773793. The cubic root of 196322112 is about 581.1966100111.

The spelling of 196322112 in words is "one hundred ninety-six million, three hundred twenty-two thousand, one hundred twelve".