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195332980 = 22529615521
BaseRepresentation
bin10111010010010…
…00101101110100
3111121112221110211
423221020231310
5400001123410
631214355204
74561205623
oct1351105564
9447487424
10195332980
11a0295617
12554bbb04
1331611c5b
141bd296ba
151223668a
hexba48b74

195332980 has 48 divisors (see below), whose sum is σ = 431378640. Its totient is φ = 74188800.

The previous prime is 195332959. The next prime is 195332981. The reversal of 195332980 is 89233591.

195332980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 40678884 + 154654096 = 6378^2 + 12436^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195332981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32620 + ... + 38140.

It is an arithmetic number, because the mean of its divisors is an integer number (8987055).

Almost surely, 2195332980 is an apocalyptic number.

195332980 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 195332980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215689320).

195332980 is an abundant number, since it is smaller than the sum of its proper divisors (236045660).

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

195332980 is a wasteful number, since it uses less digits than its factorization.

195332980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5620 (or 5618 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 195332980 is about 13976.1575549219. The cubic root of 195332980 is about 580.2188829039.

The spelling of 195332980 in words is "one hundred ninety-five million, three hundred thirty-two thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 61 116 122 145 244 290 305 580 610 1220 1769 3538 5521 7076 8845 11042 17690 22084 27605 35380 55210 110420 160109 320218 336781 640436 673562 800545 1347124 1601090 1683905 3202180 3367810 6735620 9766649 19533298 39066596 48833245 97666490 195332980