Search a number
-
+
232332320032 = 2541661267901
BaseRepresentation
bin1101100001100000010…
…1011101110100100000
3211012200122020201110221
43120120011131310200
512301304033220112
6254422035532424
722533261064501
oct3303005356440
9735618221427
10232332320032
118a5935a084a
123903b75a114
1318ba79643a7
14b3601acba8
15609bc05e07
hex361815dd20

232332320032 has 48 divisors (see below), whose sum is σ = 469271074104. Its totient is φ = 113160960000.

The previous prime is 232332320027. The next prime is 232332320081. The reversal of 232332320032 is 230023233232.

It can be written as a sum of positive squares in 4 ways, for example, as 200564248336 + 31768071696 = 447844^2 + 178236^2 .

It is a junction number, because it is equal to n+sod(n) for n = 232332319979 and 232332320006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 733282 + ... + 1001182.

Almost surely, 2232332320032 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 232332320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234635537052).

232332320032 is an abundant number, since it is smaller than the sum of its proper divisors (236938754072).

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

232332320032 is a wasteful number, since it uses less digits than its factorization.

232332320032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268613 (or 268605 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 25.

Adding to 232332320032 its reverse (230023233232), we get a palindrome (462355553264).

The spelling of 232332320032 in words is "two hundred thirty-two billion, three hundred thirty-two million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 661 1312 1322 2644 5288 10576 21152 27101 54202 108404 216808 267901 433616 535802 867232 1071604 2143208 4286416 8572832 10983941 21967882 43935764 87871528 175743056 177082561 351486112 354165122 708330244 1416660488 2833320976 5666641952 7260385001 14520770002 29041540004 58083080008 116166160016 232332320032