Search a number
-
+
2186204816940 = 2235713461148279
BaseRepresentation
bin11111110100000011111…
…101100010011000101100
321201222222101001121220120
4133310003331202120230
5241304321413120230
64352154552244540
7313643123222334
oct37640375423054
97658871047816
102186204816940
11773189696851
122b384b6a0750
1312b209827321
1477b547720c4
153bd052ca310
hex1fd03f6262c

2186204816940 has 96 divisors (see below), whose sum is σ = 6209425474560. Its totient is φ = 574606905600.

The previous prime is 2186204816909. The next prime is 2186204816951. The reversal of 2186204816940 is 496184026812.

It is a super-2 number, since 2×21862048169402 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14669721 + ... + 14817999.

It is an arithmetic number, because the mean of its divisors is an integer number (64681515360).

Almost surely, 22186204816940 is an apocalyptic number.

2186204816940 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 2186204816940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104712737280).

2186204816940 is an abundant number, since it is smaller than the sum of its proper divisors (4023220657620).

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

2186204816940 is a wasteful number, since it uses less digits than its factorization.

2186204816940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151823 (or 151821 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 2186204816940 in words is "two trillion, one hundred eighty-six billion, two hundred four million, eight hundred sixteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 3461 4260 6922 10383 13844 17305 20766 34610 41532 51915 69220 103830 148279 207660 245731 296558 444837 491462 593116 737193 741395 889674 982924 1228655 1474386 1482790 1779348 2224185 2457310 2948772 2965580 3685965 4448370 4914620 7371930 8896740 10527809 14743860 21055618 31583427 42111236 52639045 63166854 105278090 126333708 157917135 210556180 315834270 513193619 631668540 1026387238 1539580857 2052774476 2565968095 3079161714 5131936190 6158323428 7697904285 10263872380 15395808570 30791617140 36436746949 72873493898 109310240847 145746987796 182183734745 218620481694 364367469490 437240963388 546551204235 728734938980 1093102408470 2186204816940