Search a number
-
+
232022113232 = 24721356940009
BaseRepresentation
bin1101100000010110011…
…0000111101111010000
3211011220000112120202012
43120011212013233100
512300140130110412
6254331155042052
722522503264500
oct3300546075720
9734800476665
10232022113232
118a444485898
1238b738a0328
1318b58601880
14b330cdda00
15607e87cc22
hex3605987bd0

232022113232 has 120 divisors (see below), whose sum is σ = 564167406600. Its totient is φ = 91625361408.

The previous prime is 232022113159. The next prime is 232022113237. The reversal of 232022113232 is 232311220232.

232022113232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 33769207696 + 198252905536 = 183764^2 + 445256^2 .

It is a super-2 number, since 2×2320221132322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232022113198 and 232022113207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232022113237) 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, 5779244 + ... + 5819252.

It is an arithmetic number, because the mean of its divisors is an integer number (4701395055).

Almost surely, 2232022113232 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 232022113232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282083703300).

232022113232 is an abundant number, since it is smaller than the sum of its proper divisors (332145293368).

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

232022113232 is a wasteful number, since it uses less digits than its factorization.

232022113232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40613 (or 40600 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 232022113232 its reverse (232311220232), we get a palindrome (464333333464).

The spelling of 232022113232 in words is "two hundred thirty-two billion, twenty-two million, one hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 569 637 728 784 1138 1274 1456 2276 2548 3983 4552 5096 7397 7966 9104 10192 14794 15932 27881 29588 31864 40009 51779 55762 59176 63728 80018 103558 111524 118352 160036 207116 223048 280063 320072 362453 414232 446096 520117 560126 640144 724906 828464 1040234 1120252 1449812 1960441 2080468 2240504 2899624 3640819 3920882 4160936 4481008 5799248 7281638 7841764 8321872 14563276 15683528 22765121 25485733 29126552 31367056 45530242 50971466 58253104 91060484 101942932 159355847 182120968 203885864 295946573 318711694 364241936 407771728 591893146 637423388 1115490929 1183786292 1274846776 2071626011 2230981858 2367572584 2549693552 4143252022 4461963716 4735145168 8286504044 8923927432 14501382077 16573008088 17847854864 29002764154 33146016176 58005528308 116011056616 232022113232