Search a number
-
+
328225272 = 233233119181
BaseRepresentation
bin10011100100000…
…101000111111000
3211212121120102120
4103210011013320
51133011202042
652323001240
711063603664
oct2344050770
9755546376
10328225272
11159302561
1291b09220
135300104b
143183d8a4
151dc36dec
hex139051f8

328225272 has 64 divisors (see below), whose sum is σ = 883906560. Its totient is φ = 101270400.

The previous prime is 328225267. The next prime is 328225279. The reversal of 328225272 is 272522823.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328225279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7522 + ... + 26702.

It is an arithmetic number, because the mean of its divisors is an integer number (13811040).

Almost surely, 2328225272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328225272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441953280).

328225272 is an abundant number, since it is smaller than the sum of its proper divisors (555681288).

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

328225272 is a wasteful number, since it uses less digits than its factorization.

328225272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19244 (or 19240 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 328225272 is about 18116.9884914684. The cubic root of 328225272 is about 689.8012954400.

The spelling of 328225272 in words is "three hundred twenty-eight million, two hundred twenty-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 23 24 31 46 62 69 92 93 124 138 184 186 248 276 372 552 713 744 1426 2139 2852 4278 5704 8556 17112 19181 38362 57543 76724 115086 153448 230172 441163 460344 594611 882326 1189222 1323489 1764652 1783833 2378444 2646978 3529304 3567666 4756888 5293956 7135332 10587912 13676053 14270664 27352106 41028159 54704212 82056318 109408424 164112636 328225272