Search a number
-
+
3022303560 = 2335376111159
BaseRepresentation
bin1011010000100100…
…1011000101001000
321210121222221001220
42310021023011020
522142202203220
61215522242040
7134616104433
oct26411130510
97717887056
103022303560
111311014441
127041b6320
133921c3303
1420957081a
1512a4ec540
hexb424b148

3022303560 has 128 divisors (see below), whose sum is σ = 9465465600. Its totient is φ = 771240960.

The previous prime is 3022303541. The next prime is 3022303567. The reversal of 3022303560 is 653032203.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3022303560.

It is not an unprimeable number, because it can be changed into a prime (3022303567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265261 + ... + 276419.

It is an arithmetic number, because the mean of its divisors is an integer number (73948950).

Almost surely, 23022303560 is an apocalyptic number.

3022303560 is a gapful number since it is divisible by the number (30) 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 3022303560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4732732800).

3022303560 is an abundant number, since it is smaller than the sum of its proper divisors (6443162040).

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

3022303560 is a wasteful number, since it uses less digits than its factorization.

3022303560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11271 (or 11267 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 3022303560 is about 54975.4814440037. The cubic root of 3022303560 is about 1445.8148937862.

Adding to 3022303560 its reverse (653032203), we get a palindrome (3675335763).

The spelling of 3022303560 in words is "three billion, twenty-two million, three hundred three thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 61 74 111 120 122 148 183 185 222 244 296 305 366 370 444 488 555 610 732 740 888 915 1110 1220 1464 1480 1830 2220 2257 2440 3660 4440 4514 6771 7320 9028 11159 11285 13542 18056 22318 22570 27084 33477 33855 44636 45140 54168 55795 66954 67710 89272 90280 111590 133908 135420 167385 223180 267816 270840 334770 412883 446360 669540 680699 825766 1238649 1339080 1361398 1651532 2042097 2064415 2477298 2722796 3303064 3403495 4084194 4128830 4954596 5445592 6193245 6806990 8168388 8257660 9909192 10210485 12386490 13613980 16336776 16515320 20420970 24772980 25185863 27227960 40841940 49545960 50371726 75557589 81683880 100743452 125929315 151115178 201486904 251858630 302230356 377787945 503717260 604460712 755575890 1007434520 1511151780 3022303560