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194966016 = 293718133
BaseRepresentation
bin10111001111011…
…11001000000000
3111120212022002120
423213233020000
5344402403031
631202444240
74555120020
oct1347571000
9446768076
10194966016
11a0064943
1255363680
1331513c0b
141bc71a80
15121b2a96
hexb9ef200

194966016 has 80 divisors (see below), whose sum is σ = 593634624. Its totient is φ = 55701504.

The previous prime is 194966003. The next prime is 194966017. The reversal of 194966016 is 610669491.

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

It is not an unprimeable number, because it can be changed into a prime (194966017) 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 7 ways as a sum of consecutive naturals, for example, 1686 + ... + 19818.

Almost surely, 2194966016 is an apocalyptic number.

194966016 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 194966016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296817312).

194966016 is an abundant number, since it is smaller than the sum of its proper divisors (398668608).

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

194966016 is an equidigital number, since it uses as much as digits as its factorization.

194966016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18161 (or 18145 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 194966016 is about 13963.0231683543. The cubic root of 194966016 is about 579.8553107175.

The spelling of 194966016 in words is "one hundred ninety-four million, nine hundred sixty-six thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 10752 18133 36266 54399 72532 108798 126931 145064 217596 253862 290128 380793 435192 507724 580256 761586 870384 1015448 1160512 1523172 1740768 2030896 2321024 3046344 3481536 4061792 4642048 6092688 6963072 8123584 9284096 12185376 13926144 16247168 24370752 27852288 32494336 48741504 64988672 97483008 194966016