Search a number
-
+
230322000213 = 3261364165129
BaseRepresentation
bin1101011010000001000…
…0101101000101010101
3211000111112110220010100
43112200100231011111
512233144413001323
6253450343444313
722432410461664
oct3264020550525
9730445426110
10230322000213
1189751845808
123877a456699
1318947315a36
14b20d1c8ddb
155ed04a5943
hex35a042d155

230322000213 has 24 divisors (see below), whose sum is σ = 333755037720. Its totient is φ = 153056010240.

The previous prime is 230322000211. The next prime is 230322000217. The reversal of 230322000213 is 312000223032.

It is a happy number.

230322000213 is a `hidden beast` number, since 230 + 3 + 220 + 0 + 0 + 213 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 68856804 + 230253143409 = 8298^2 + 479847^2 .

It is not a de Polignac number, because 230322000213 - 21 = 230322000211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230322000211) 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, 3503833 + ... + 3568961.

It is an arithmetic number, because the mean of its divisors is an integer number (13906459905).

Almost surely, 2230322000213 is an apocalyptic number.

It is an amenable number.

230322000213 is a deficient number, since it is larger than the sum of its proper divisors (103433037507).

230322000213 is a wasteful number, since it uses less digits than its factorization.

230322000213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66389 (or 66386 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 230322000213 its reverse (312000223032), we get a palindrome (542322223245).

The spelling of 230322000213 in words is "two hundred thirty billion, three hundred twenty-two million, two hundred thirteen", and thus it is an aban number.

Divisors: 1 3 9 613 641 1839 1923 5517 5769 65129 195387 392933 586161 1178799 3536397 39924077 41747689 119772231 125243067 359316693 375729201 25591333357 76774000071 230322000213