Search a number
-
+
218690653980 = 223519209991393
BaseRepresentation
bin1100101110101011111…
…0101000111100011100
3202220110221001021200010
43023222332220330130
512040334301411410
6244244243403220
721541233613401
oct3135276507434
9686427037603
10218690653980
118482319a177
1236473083510
1317812668b46
14a8285322a8
155a4e2a5c20
hex32eafa8f1c

218690653980 has 96 divisors (see below), whose sum is σ = 644876064000. Its totient is φ = 55221239808.

The previous prime is 218690653901. The next prime is 218690653991. The reversal of 218690653980 is 89356096812.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 218690653980.

It is a congruent number.

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, 2347164 + ... + 2438556.

It is an arithmetic number, because the mean of its divisors is an integer number (6717459000).

Almost surely, 2218690653980 is an apocalyptic number.

218690653980 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 218690653980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322438032000).

218690653980 is an abundant number, since it is smaller than the sum of its proper divisors (426185410020).

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

218690653980 is a wasteful number, since it uses less digits than its factorization.

218690653980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93523 (or 93521 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 218690653980 in words is "two hundred eighteen billion, six hundred ninety million, six hundred fifty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 2099 4198 6297 8396 10495 12594 20990 25188 31485 39881 41980 62970 79762 91393 119643 125940 159524 182786 199405 239286 274179 365572 398810 456965 478572 548358 598215 797620 913930 1096716 1196430 1370895 1736467 1827860 2392860 2741790 3472934 5209401 5483580 6945868 8682335 10418802 17364670 20837604 26047005 34729340 52094010 104188020 191833907 383667814 575501721 767335628 959169535 1151003442 1918339070 2302006884 2877508605 3644844233 3836678140 5755017210 7289688466 10934532699 11510034420 14579376932 18224221165 21869065398 36448442330 43738130796 54672663495 72896884660 109345326990 218690653980