Search a number
-
+
2329216 = 2731587
BaseRepresentation
bin1000111000101010000000
311101100002021
420320222000
51044013331
6121531224
725540501
oct10705200
94340067
102329216
111350a7a
12943b14
13637246
14448ba8
15310211
hex238a80

2329216 has 32 divisors (see below), whose sum is σ = 4798080. Its totient is φ = 1125120.

The previous prime is 2329213. The next prime is 2329231. The reversal of 2329216 is 6129232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (2329213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3675 + ... + 4261.

It is an arithmetic number, because the mean of its divisors is an integer number (149940).

22329216 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 2329216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399040).

2329216 is an abundant number, since it is smaller than the sum of its proper divisors (2468864).

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

2329216 is an equidigital number, since it uses as much as digits as its factorization.

2329216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 620 counting only the distinct ones).

The product of its digits is 1296, while the sum is 25.

The square root of 2329216 is about 1526.1769229025. The cubic root of 2329216 is about 132.5571795455.

The spelling of 2329216 in words is "two million, three hundred twenty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 587 992 1174 1984 2348 3968 4696 9392 18197 18784 36394 37568 72788 75136 145576 291152 582304 1164608 2329216