Search a number
-
+
3113222320 = 2451359113449
BaseRepresentation
bin1011100110010000…
…0000000010110000
322000222002002011101
42321210000002300
522333441103240
61232531054144
7140101644625
oct27144000260
98028062141
103113222320
11135837300a
1272a741354
133a7ca74b0
1421767a34c
151334ab39a
hexb99000b0

3113222320 has 160 divisors (see below), whose sum is σ = 8015112000. Its totient is φ = 1117519872.

The previous prime is 3113222311. The next prime is 3113222327. The reversal of 3113222320 is 232223113.

It is not an unprimeable number, because it can be changed into a prime (3113222327) 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, 6933456 + ... + 6933904.

It is an arithmetic number, because the mean of its divisors is an integer number (50094450).

Almost surely, 23113222320 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 3113222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007556000).

3113222320 is an abundant number, since it is smaller than the sum of its proper divisors (4901889680).

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

3113222320 is a wasteful number, since it uses less digits than its factorization.

3113222320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 3113222320 is about 55796.2572221471. The cubic root of 3113222320 is about 1460.1698557622.

Adding to 3113222320 its reverse (232223113), we get a palindrome (3345445433).

The spelling of 3113222320 in words is "three billion, one hundred thirteen million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 59 65 80 104 113 118 130 208 226 236 260 295 449 452 472 520 565 590 767 898 904 944 1040 1130 1180 1469 1534 1796 1808 2245 2260 2360 2938 3068 3592 3835 4490 4520 4720 5837 5876 6136 6667 7184 7345 7670 8980 9040 11674 11752 12272 13334 14690 15340 17960 23348 23504 26491 26668 29185 29380 30680 33335 35920 46696 50737 52982 53336 58370 58760 61360 66670 86671 93392 101474 105964 106672 116740 117520 132455 133340 173342 202948 211928 233480 253685 264910 266680 344383 346684 405896 423856 433355 466960 507370 529820 533360 659581 688766 693368 811792 866710 1014740 1059640 1319162 1377532 1386736 1721915 1733420 2029480 2119280 2638324 2755064 2993483 3297905 3443830 3466840 4058960 5276648 5510128 5986966 6595810 6887660 6933680 10553296 11973932 13191620 13775320 14967415 23947864 26383240 27550640 29934830 38915279 47895728 52766480 59869660 77830558 119739320 155661116 194576395 239478640 311322232 389152790 622644464 778305580 1556611160 3113222320