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196210332 = 223223210303
BaseRepresentation
bin10111011000111…
…10111010011100
3111200012111222100
423230132322130
5400212212312
631245245100
74601521533
oct1354367234
9450174870
10196210332
11a08347aa
1255863790
133185b3b6
141c0b731a
151235b5dc
hexbb1ee9c

196210332 has 54 divisors (see below), whose sum is σ = 518528192. Its totient is φ = 62553744.

The previous prime is 196210327. The next prime is 196210337. The reversal of 196210332 is 233012691.

196210332 is a `hidden beast` number, since 1 + 9 + 621 + 0 + 3 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (196210327) and next prime (196210337).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 196210296 and 196210305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196210337) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 13893 + ... + 24195.

Almost surely, 2196210332 is an apocalyptic number.

196210332 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 196210332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259264096).

196210332 is an abundant number, since it is smaller than the sum of its proper divisors (322317860).

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

196210332 is a wasteful number, since it uses less digits than its factorization.

196210332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10359 (or 10331 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 196210332 is about 14007.5098429378. The cubic root of 196210332 is about 581.0862836869.

The spelling of 196210332 in words is "one hundred ninety-six million, two hundred ten thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1587 2116 3174 4761 6348 9522 10303 19044 20606 30909 41212 61818 92727 123636 185454 236969 370908 473938 710907 947876 1421814 2132721 2843628 4265442 5450287 8530884 10900574 16350861 21801148 32701722 49052583 65403444 98105166 196210332