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194612112 = 24333311361
BaseRepresentation
bin10111001100110…
…00101110010000
3111120012022122000
423212120232100
5344310041422
631151114000
74552114152
oct1346305620
9446168560
10194612112
119a942a62
1255212900
133141bac6
141bbbcad2
1512142cac
hexb998b90

194612112 has 80 divisors (see below), whose sum is σ = 560708160. Its totient is φ = 64627200.

The previous prime is 194612071. The next prime is 194612113. The reversal of 194612112 is 211216491.

194612112 is digitally balanced in base 3, 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 (27).

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

It is not an unprimeable number, because it can be changed into a prime (194612113) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 142312 + ... + 143672.

It is an arithmetic number, because the mean of its divisors is an integer number (7008852).

Almost surely, 2194612112 is an apocalyptic number.

194612112 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 194612112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280354080).

194612112 is an abundant number, since it is smaller than the sum of its proper divisors (366096048).

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

194612112 is a wasteful number, since it uses less digits than its factorization.

194612112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1697 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 194612112 is about 13950.3445118750. The cubic root of 194612112 is about 579.5042454197.

The spelling of 194612112 in words is "one hundred ninety-four million, six hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 331 432 662 993 1324 1361 1986 2648 2722 2979 3972 4083 5296 5444 5958 7944 8166 8937 10888 11916 12249 15888 16332 17874 21776 23832 24498 32664 35748 36747 47664 48996 65328 71496 73494 97992 142992 146988 195984 293976 450491 587952 900982 1351473 1801964 2702946 3603928 4054419 5405892 7207856 8108838 10811784 12163257 16217676 21623568 24326514 32435352 48653028 64870704 97306056 194612112