Search a number
-
+
23233365320 = 235111014311213
BaseRepresentation
bin10101101000110100…
…010000010101001000
32012222011200020121212
4111220310100111020
5340040220142240
614401231352252
71451513226644
oct255064202510
965864606555
1023233365320
1199426a1270
124604982688
132263529159
1411a58b7c24
1590ea5a165
hex568d10548

23233365320 has 128 divisors (see below), whose sum is σ = 57773191680. Its totient is φ = 8338560000.

The previous prime is 23233365317. The next prime is 23233365343. The reversal of 23233365320 is 2356333232.

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, 19153034 + ... + 19154246.

It is an arithmetic number, because the mean of its divisors is an integer number (451353060).

Almost surely, 223233365320 is an apocalyptic number.

23233365320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23233365320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28886595840).

23233365320 is an abundant number, since it is smaller than the sum of its proper divisors (34539826360).

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

23233365320 is a wasteful number, since it uses less digits than its factorization.

23233365320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 32.

Adding to 23233365320 its reverse (2356333232), we get a palindrome (25589698552).

The spelling of 23233365320 in words is "twenty-three billion, two hundred thirty-three million, three hundred sixty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 431 440 505 808 862 1010 1111 1213 1724 2020 2155 2222 2426 3448 4040 4310 4444 4741 4852 5555 6065 8620 8888 9482 9704 11110 12130 13343 17240 18964 22220 23705 24260 26686 37928 43531 44440 47410 48520 53372 66715 87062 94820 106744 122513 133430 174124 189640 217655 245026 266860 348248 435310 478841 490052 522803 533720 612565 870620 957682 980104 1045606 1225130 1347643 1741240 1915364 2091212 2394205 2450260 2614015 2695286 3830728 4182424 4788410 4900520 5228030 5390572 5750833 6738215 9576820 10456060 10781144 11501666 13476430 19153640 20912120 23003332 26952860 28754165 46006664 52803103 53905720 57508330 105606206 115016660 211212412 230033320 264015515 422424824 528031030 580834133 1056062060 1161668266 2112124120 2323336532 2904170665 4646673064 5808341330 11616682660 23233365320