Search a number
-
+
2216453000166 = 2358921813181
BaseRepresentation
bin100000010000001110111…
…001001100101111100110
321211220001102100112200000
4200100032321030233212
5242303243432001131
64414120252002130
7316063525435416
oct40201671145746
97756042315600
102216453000166
11784aa0a32589
122b9691760346
1313101a446bb2
14793c3b42646
153c9c5ac9ce6
hex2040ee4cbe6

2216453000166 has 144 divisors (see below), whose sum is σ = 5066183701488. Its totient is φ = 726251961600.

The previous prime is 2216453000149. The next prime is 2216453000173. The reversal of 2216453000166 is 6610003546122.

2216453000166 is a `hidden beast` number, since 2 + 2 + 1 + 64 + 530 + 0 + 0 + 1 + 66 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2216453000166.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 696777096 + ... + 696780276.

Almost surely, 22216453000166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2216453000166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533091850744).

2216453000166 is an abundant number, since it is smaller than the sum of its proper divisors (2849730701322).

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

2216453000166 is an equidigital number, since it uses as much as digits as its factorization.

2216453000166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557 (or 3456 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 2216453000166 its reverse (6610003546122), we get a palindrome (8826456546288).

The spelling of 2216453000166 in words is "two trillion, two hundred sixteen billion, four hundred fifty-three million, one hundred sixty-six", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 54 81 89 162 178 181 243 267 362 486 534 543 801 1086 1602 1629 2403 3181 3258 4806 4887 6362 7209 7921 9543 9774 14418 14661 15842 16109 19086 21627 23763 28629 29322 32218 43254 43983 47526 48327 57258 71289 85887 87966 96654 142578 144981 171774 213867 257661 283109 289962 427734 434943 515322 566218 575761 641601 772983 849327 869886 1151522 1283202 1304829 1433701 1545966 1698654 1727283 1924803 2547981 2609658 2867402 3454566 3849606 3914487 4301103 5095962 5181849 7643943 7828974 8602206 10363698 12903309 15287886 15545547 22931829 25196701 25806618 31091094 38709927 45863658 46636641 50393402 51242729 68795487 75590103 77419854 93273282 102485458 116129781 137590974 139909923 151180206 153728187 226770309 232259562 279819846 307456374 348389343 453540618 461184561 680310927 696778686 922369122 1360621854 1383553683 2040932781 2767107366 4081865562 4150661049 4560602881 6122798343 8301322098 9121205762 12245596686 12451983147 13681808643 24903966294 27363617286 41045425929 82090851858 123136277787 246272555574 369408833361 738817666722 1108226500083 2216453000166