Search a number
-
+
195744168 = 23332331241
BaseRepresentation
bin10111010101011…
…01000110101000
3111122022211112000
423222231012220
5400102303133
631231251000
74564540464
oct1352550650
9448284460
10195744168
11a0546544
1255679a60
1331727169
141bdd54a4
15122b8413
hexbaad1a8

195744168 has 192 divisors, whose sum is σ = 600566400. Its totient is φ = 58924800.

The previous prime is 195744167. The next prime is 195744173. The reversal of 195744168 is 861447591.

195744168 is a `hidden beast` number, since 19 + 574 + 4 + 1 + 68 = 666.

195744168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (195744163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4774228 + ... + 4774268.

It is an arithmetic number, because the mean of its divisors is an integer number (3127950).

Almost surely, 2195744168 is an apocalyptic number.

195744168 is a gapful number since it is divisible by the number (18) 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 195744168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300283200).

195744168 is an abundant number, since it is smaller than the sum of its proper divisors (404822232).

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

195744168 is a wasteful number, since it uses less digits than its factorization.

195744168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 100 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 195744168 is about 13990.8601594041. The cubic root of 195744168 is about 580.6257297655.

The spelling of 195744168 in words is "one hundred ninety-five million, seven hundred forty-four thousand, one hundred sixty-eight".