Search a number
-
+
195082272 = 253271119463
BaseRepresentation
bin10111010000010…
…11100000100000
3111121002012120100
423220023200200
5344420113042
631205142400
74556112660
oct1350134040
9447065510
10195082272
11a0134220
12553baa00
1331554ac8
141bca21a0
15121d724c
hexba0b820

195082272 has 288 divisors, whose sum is σ = 729630720. Its totient is φ = 47900160.

The previous prime is 195082247. The next prime is 195082301. The reversal of 195082272 is 272280591.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421113 + ... + 421575.

It is an arithmetic number, because the mean of its divisors is an integer number (2533440).

Almost surely, 2195082272 is an apocalyptic number.

195082272 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 195082272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364815360).

195082272 is an abundant number, since it is smaller than the sum of its proper divisors (534548448).

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

195082272 is a wasteful number, since it uses less digits than its factorization.

195082272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 195082272 is about 13967.1855432653. The cubic root of 195082272 is about 579.9705415082.

The spelling of 195082272 in words is "one hundred ninety-five million, eighty-two thousand, two hundred seventy-two".