Search a number
-
+
216320232 = 23331479607
BaseRepresentation
bin11001110010011…
…00100011101000
3120002001012120110
430321030203220
5420334221412
633244254320
75234456142
oct1471144350
9502035513
10216320232
1110111a657
12605413a0
1335a7c84b
1420a2dc92
1513eced3c
hexce4c8e8

216320232 has 64 divisors (see below), whose sum is σ = 560332800. Its totient is φ = 69520320.

The previous prime is 216320219. The next prime is 216320233. The reversal of 216320232 is 232023612.

It is a junction number, because it is equal to n+sod(n) for n = 216320199 and 216320208.

It is not an unprimeable number, because it can be changed into a prime (216320233) 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, 356073 + ... + 356679.

It is an arithmetic number, because the mean of its divisors is an integer number (8755200).

Almost surely, 2216320232 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 216320232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280166400).

216320232 is an abundant number, since it is smaller than the sum of its proper divisors (344012568).

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

216320232 is a wasteful number, since it uses less digits than its factorization.

216320232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 216320232 is about 14707.8289356383. The cubic root of 216320232 is about 600.2963647003.

Adding to 216320232 its reverse (232023612), we get a palindrome (448343844).

The spelling of 216320232 in words is "two hundred sixteen million, three hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 479 607 744 958 1214 1437 1821 1916 2428 2874 3642 3832 4856 5748 7284 11496 14568 14849 18817 29698 37634 44547 56451 59396 75268 89094 112902 118792 150536 178188 225804 290753 356376 451608 581506 872259 1163012 1744518 2326024 3489036 6978072 9013343 18026686 27040029 36053372 54080058 72106744 108160116 216320232