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196205856 = 253711219127
BaseRepresentation
bin10111011000111…
…01110100100000
3111200012021211120
423230131310200
5400212041411
631245212240
74601502510
oct1354356440
9450167746
10196205856
11a0831400
1255861080
1331859352
141c0b5840
151235a106
hexbb1dd20

196205856 has 288 divisors, whose sum is σ = 686407680. Its totient is φ = 47900160.

The previous prime is 196205831. The next prime is 196205887. The reversal of 196205856 is 658502691.

196205856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1544865 + ... + 1544991.

It is an arithmetic number, because the mean of its divisors is an integer number (2383360).

Almost surely, 2196205856 is an apocalyptic number.

196205856 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 196205856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343203840).

196205856 is an abundant number, since it is smaller than the sum of its proper divisors (490201824).

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

196205856 is a wasteful number, since it uses less digits than its factorization.

196205856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 196205856 is about 14007.3500705879. The cubic root of 196205856 is about 581.0818650240.

The spelling of 196205856 in words is "one hundred ninety-six million, two hundred five thousand, eight hundred fifty-six".