Search a number
-
+
2232312 = 233471979
BaseRepresentation
bin1000100000111111111000
311012102011020
420200333320
51032413222
6115502440
724655125
oct10407770
94172136
102232312
111295195
128b7a20
136020c4
1442174c
152e165c
hex220ff8

2232312 has 32 divisors (see below), whose sum is σ = 5702400. Its totient is φ = 727904.

The previous prime is 2232281. The next prime is 2232317. The reversal of 2232312 is 2132322.

2232312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22323123 = 33372284421329385984, which contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2232291 and 2232300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139 + ... + 2117.

It is an arithmetic number, because the mean of its divisors is an integer number (178200).

22232312 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 2232312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851200).

2232312 is an abundant number, since it is smaller than the sum of its proper divisors (3470088).

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

2232312 is a wasteful number, since it uses less digits than its factorization.

2232312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035 (or 2031 counting only the distinct ones).

The product of its digits is 144, while the sum is 15.

The square root of 2232312 is about 1494.0923666226. The cubic root of 2232312 is about 130.6927906026.

Adding to 2232312 its reverse (2132322), we get a palindrome (4364634).

The spelling of 2232312 in words is "two million, two hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 1979 3958 5937 7916 11874 15832 23748 47496 93013 186026 279039 372052 558078 744104 1116156 2232312