Search a number
-
+
232005450 = 23522635881
BaseRepresentation
bin11011101010000…
…01111101001010
3121011120002122110
431311001331022
5433343133300
635004403150
75515004505
oct1565017512
9534502573
10232005450
11109a63146
12658464b6
13390b2041
1422b5413c
151557c550
hexdd41f4a

232005450 has 48 divisors (see below), whose sum is σ = 577659456. Its totient is φ = 61622400.

The previous prime is 232005419. The next prime is 232005451. The reversal of 232005450 is 54500232.

It is not an unprimeable number, because it can be changed into a prime (232005451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36510 + ... + 42390.

It is an arithmetic number, because the mean of its divisors is an integer number (12034572).

Almost surely, 2232005450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232005450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288829728).

232005450 is an abundant number, since it is smaller than the sum of its proper divisors (345654006).

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

232005450 is a wasteful number, since it uses less digits than its factorization.

232005450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6159 (or 6154 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 232005450 is about 15231.7251156919. The cubic root of 232005450 is about 614.4681766302.

Adding to 232005450 its reverse (54500232), we get a palindrome (286505682).

The spelling of 232005450 in words is "two hundred thirty-two million, five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 263 526 789 1315 1578 2630 3945 5881 6575 7890 11762 13150 17643 19725 29405 35286 39450 58810 88215 147025 176430 294050 441075 882150 1546703 3093406 4640109 7733515 9280218 15467030 23200545 38667575 46401090 77335150 116002725 232005450