Search a number
-
+
3233223224 = 2371129241751
BaseRepresentation
bin1100000010110111…
…0001001000111000
322100022212202110022
43000231301020320
523110201120344
61252455110012
7143056641530
oct30055611070
98308782408
103233223224
11140a085510
12762972308
133c6b0194a
142295964c0
1513dcb20ee
hexc0b71238

3233223224 has 128 divisors (see below), whose sum is σ = 7861708800. Its totient is φ = 1209600000.

The previous prime is 3233223209. The next prime is 3233223233. The reversal of 3233223224 is 4223223323.

It is a junction number, because it is equal to n+sod(n) for n = 3233223193 and 3233223202.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4304849 + ... + 4305599.

It is an arithmetic number, because the mean of its divisors is an integer number (61419600).

Almost surely, 23233223224 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 3233223224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3930854400).

3233223224 is an abundant number, since it is smaller than the sum of its proper divisors (4628485576).

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

3233223224 is a wasteful number, since it uses less digits than its factorization.

3233223224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1041 counting only the distinct ones).

The product of its digits is 10368, while the sum is 26.

The square root of 3233223224 is about 56861.4388140152. The cubic root of 3233223224 is about 1478.6948598685.

Adding to 3233223224 its reverse (4223223323), we get a palindrome (7456446547).

Subtracting 3233223224 from its reverse (4223223323), we obtain a palindrome (990000099).

The spelling of 3233223224 in words is "three billion, two hundred thirty-three million, two hundred twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 29 44 56 58 77 88 116 154 203 232 241 308 319 406 482 616 638 751 812 964 1276 1502 1624 1687 1928 2233 2552 2651 3004 3374 4466 5257 5302 6008 6748 6989 8261 8932 10514 10604 13496 13978 16522 17864 18557 21028 21208 21779 27956 33044 37114 42056 43558 48923 55912 57827 66088 74228 76879 87116 97846 115654 148456 152453 153758 174232 180991 195692 231308 239569 304906 307516 361982 391384 462616 479138 538153 609812 615032 723964 958276 1076306 1219624 1266937 1447928 1676983 1916552 1990901 2152612 2533874 3353966 3981802 4305224 5067748 5248739 6707932 7963604 10135496 10497478 13415864 13936307 15927208 20994956 27872614 36741173 41989912 55745228 57736129 73482346 111490456 115472258 146964692 230944516 293929384 404152903 461889032 808305806 1616611612 3233223224