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194914944 = 2733721151
BaseRepresentation
bin10111001111000…
…10101010000000
3111120202201001000
423213202222000
5344344234234
631201412000
74554515100
oct1347425200
9446681030
10194914944
11a002a534
125533a000
13314c68b3
141bc5b200
15121a2899
hexb9e2a80

194914944 has 192 divisors, whose sum is σ = 669772800. Its totient is φ = 55641600.

The previous prime is 194914931. The next prime is 194914981. The reversal of 194914944 is 449419491.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 194914944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168769 + ... + 169919.

It is an arithmetic number, because the mean of its divisors is an integer number (3488400).

Almost surely, 2194914944 is an apocalyptic number.

194914944 is a gapful number since it is divisible by the number (14) 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 194914944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334886400).

194914944 is an abundant number, since it is smaller than the sum of its proper divisors (474857856).

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

194914944 is a wasteful number, since it uses less digits than its factorization.

194914944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1163 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 194914944 is about 13961.1942182608. The cubic root of 194914944 is about 579.8046746165.

The spelling of 194914944 in words is "one hundred ninety-four million, nine hundred fourteen thousand, nine hundred forty-four".