Search a number
-
+
2064221160 = 2335291973011
BaseRepresentation
bin111101100001001…
…1000001111101000
312022212012022002120
41323002120033220
513211420034120
6540455231240
7102103406331
oct17302301750
95285168076
102064221160
1196a220a01
12497378520
1326b871751
14158215288
15c134b140
hex7b0983e8

2064221160 has 128 divisors (see below), whose sum is σ = 6440860800. Its totient is φ = 528604160.

The previous prime is 2064221147. The next prime is 2064221167. The reversal of 2064221160 is 611224602.

It is a super-2 number, since 2×20642211602 = 8522017994783491200, which contains 22 as substring.

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 2064221160.

It is not an unprimeable number, because it can be changed into a prime (2064221167) 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, 684055 + ... + 687065.

It is an arithmetic number, because the mean of its divisors is an integer number (50319225).

Almost surely, 22064221160 is an apocalyptic number.

2064221160 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 2064221160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3220430400).

2064221160 is an abundant number, since it is smaller than the sum of its proper divisors (4376639640).

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

2064221160 is a wasteful number, since it uses less digits than its factorization.

2064221160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3251 (or 3247 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2064221160 is about 45433.7007077346. The cubic root of 2064221160 is about 1273.2648261039.

Adding to 2064221160 its reverse (611224602), we get a palindrome (2675445762).

The spelling of 2064221160 in words is "two billion, sixty-four million, two hundred twenty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 197 232 290 348 394 435 580 591 696 788 870 985 1160 1182 1576 1740 1970 2364 2955 3011 3480 3940 4728 5713 5910 6022 7880 9033 11426 11820 12044 15055 17139 18066 22852 23640 24088 28565 30110 34278 36132 45165 45704 57130 60220 68556 72264 85695 87319 90330 114260 120440 137112 171390 174638 180660 228520 261957 342780 349276 361320 436595 523914 593167 685560 698552 873190 1047828 1186334 1309785 1746380 1779501 2095656 2372668 2619570 2965835 3492760 3559002 4745336 5239140 5931670 7118004 8897505 10478280 11863340 14236008 17201843 17795010 23726680 34403686 35590020 51605529 68807372 71180040 86009215 103211058 137614744 172018430 206422116 258027645 344036860 412844232 516055290 688073720 1032110580 2064221160