Search a number
-
+
2221060860 = 2232519897297
BaseRepresentation
bin1000010001100010…
…1011001011111100
312201210022120201100
42010120223023330
514022042421420
61004221013100
7106016464044
oct20430531374
95653276640
102221060860
11a3a804997
1251b9b4190
132951c68c5
14170da0724
15ceecc190
hex8462b2fc

2221060860 has 144 divisors (see below), whose sum is σ = 7172474400. Its totient is φ = 554729472.

The previous prime is 2221060799. The next prime is 2221060861. The reversal of 2221060860 is 680601222.

It is a super-2 number, since 2×22210608602 = 9866222687647879200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221060861) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300732 + ... + 308028.

It is an arithmetic number, because the mean of its divisors is an integer number (49808850).

Almost surely, 22221060860 is an apocalyptic number.

2221060860 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 2221060860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3586237200).

2221060860 is an abundant number, since it is smaller than the sum of its proper divisors (4951413540).

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

2221060860 is a wasteful number, since it uses less digits than its factorization.

2221060860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7420 (or 7415 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2221060860 is about 47128.1323627406. The cubic root of 2221060860 is about 1304.7285118073.

The spelling of 2221060860 in words is "two billion, two hundred twenty-one million, sixty thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 89 90 95 114 171 178 180 190 228 267 285 342 356 380 445 534 570 684 801 855 890 1068 1140 1335 1602 1691 1710 1780 2670 3204 3382 3420 4005 5073 5340 6764 7297 8010 8455 10146 14594 15219 16020 16910 20292 21891 25365 29188 30438 33820 36485 43782 50730 60876 65673 72970 76095 87564 101460 109455 131346 138643 145940 152190 218910 262692 277286 304380 328365 415929 437820 554572 649433 656730 693215 831858 1247787 1298866 1313460 1386430 1663716 1948299 2079645 2495574 2597732 2772860 3247165 3896598 4159290 4991148 5844897 6238935 6494330 7793196 8318580 9741495 11689794 12339227 12477870 12988660 19482990 23379588 24678454 24955740 29224485 37017681 38965980 49356908 58448970 61696135 74035362 111053043 116897940 123392270 148070724 185088405 222106086 246784540 370176810 444212172 555265215 740353620 1110530430 2221060860