Search a number
-
+
195195900 = 223521733761
BaseRepresentation
bin10111010001001…
…11001111111100
3111121021222102210
423220213033330
5344432232100
631211420420
74560065154
oct1350471774
9447258383
10195195900
11a0201629
1255454710
1331594743
141bcd1764
151220ac50
hexba273fc

195195900 has 72 divisors (see below), whose sum is σ = 568182384. Its totient is φ = 51737600.

The previous prime is 195195899. The next prime is 195195907. The reversal of 195195900 is 9591591.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195195907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50020 + ... + 53780.

It is an arithmetic number, because the mean of its divisors is an integer number (7891422).

Almost surely, 2195195900 is an apocalyptic number.

195195900 is a gapful number since it is divisible by the number (10) 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 195195900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284091192).

195195900 is an abundant number, since it is smaller than the sum of its proper divisors (372986484).

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

195195900 is a wasteful number, since it uses less digits than its factorization.

195195900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3951 (or 3944 counting only the distinct ones).

The product of its (nonzero) digits is 18225, while the sum is 39.

The square root of 195195900 is about 13971.2526281647. The cubic root of 195195900 is about 580.0831232431.

The spelling of 195195900 in words is "one hundred ninety-five million, one hundred ninety-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 173 300 346 519 692 865 1038 1730 2076 2595 3460 3761 4325 5190 7522 8650 10380 11283 12975 15044 17300 18805 22566 25950 37610 45132 51900 56415 75220 94025 112830 188050 225660 282075 376100 564150 650653 1128300 1301306 1951959 2602612 3253265 3903918 6506530 7807836 9759795 13013060 16266325 19519590 32532650 39039180 48798975 65065300 97597950 195195900