Search a number
-
+
2232320 = 2125109
BaseRepresentation
bin1000100001000000000000
311012102011112
420201000000
51032413240
6115502452
724655136
oct10410000
94172145
102232320
1112951a2
128b7a28
136020cc
14421756
152e1665
hex221000

2232320 has 52 divisors (see below), whose sum is σ = 5406060. Its totient is φ = 884736.

The previous prime is 2232317. The next prime is 2232323. The reversal of 2232320 is 232322.

2232320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2232317) and next prime (2232323).

It can be written as a sum of positive squares in 2 ways, for example, as 1183744 + 1048576 = 1088^2 + 1024^2 .

It is a super-3 number, since 3×22323203 = 33372643214229504000, which contains 333 as substring.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 2232295 and 2232304.

It is not an unprimeable number, because it can be changed into a prime (2232323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20426 + ... + 20534.

22232320 is an apocalyptic number.

2232320 is a gapful number since it is divisible by the number (20) 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 2232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703030).

2232320 is an abundant number, since it is smaller than the sum of its proper divisors (3173740).

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

2232320 is an equidigital number, since it uses as much as digits as its factorization.

2232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2232320 is about 1494.0950438309. The cubic root of 2232320 is about 130.6929467249.

Adding to 2232320 its reverse (232322), we get a palindrome (2464642).

It can be divided in two parts, 2232 and 320, that added together give a palindrome (2552).

The spelling of 2232320 in words is "two million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 128 160 218 256 320 436 512 545 640 872 1024 1090 1280 1744 2048 2180 2560 3488 4096 4360 5120 6976 8720 10240 13952 17440 20480 27904 34880 55808 69760 111616 139520 223232 279040 446464 558080 1116160 2232320