Search a number
-
+
194168832 = 21131113217
BaseRepresentation
bin10111001001011…
…00100000000000
3111112100210120020
423210230200000
5344201400312
631133413440
74545256614
oct1344544000
9445323506
10194168832
119a66aa10
125503a280
13312c5100
141bb05344
15120a678c
hexb92c800

194168832 has 288 divisors, whose sum is σ = 647468640. Its totient is φ = 51118080.

The previous prime is 194168813. The next prime is 194168837. The reversal of 194168832 is 238861491.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194168837) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11421688 + ... + 11421704.

It is an arithmetic number, because the mean of its divisors is an integer number (2248155).

Almost surely, 2194168832 is an apocalyptic number.

194168832 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 194168832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323734320).

194168832 is an abundant number, since it is smaller than the sum of its proper divisors (453299808).

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

194168832 is a wasteful number, since it uses less digits than its factorization.

194168832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 46 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 194168832 is about 13934.4476747376. The cubic root of 194168832 is about 579.0639200881.

It can be divided in two parts, 194168 and 832, that added together give a triangular number (195000 = T624).

The spelling of 194168832 in words is "one hundred ninety-four million, one hundred sixty-eight thousand, eight hundred thirty-two".