Search a number
-
+
2212354104604 = 22719113131927901
BaseRepresentation
bin100000001100011010100…
…101001001110100011100
321211111110202120002000021
4200030122211021310130
5242221400122321404
64412201430241524
7315560124416530
oct40143245116434
97744422502007
102212354104604
11783288241696
122b8928ab62a4
131308161aa5c7
1479115607bc0
153c835d1c454
hex2031a949d1c

2212354104604 has 96 divisors (see below), whose sum is σ = 4702536115200. Its totient is φ = 889593062400.

The previous prime is 2212354104601. The next prime is 2212354104613. The reversal of 2212354104604 is 4064014532122.

It is a self number, because there is not a number n which added to its sum of digits gives 2212354104604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212354104601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79279054 + ... + 79306954.

It is an arithmetic number, because the mean of its divisors is an integer number (48984751200).

Almost surely, 22212354104604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212354104604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351268057600).

2212354104604 is an abundant number, since it is smaller than the sum of its proper divisors (2490182010596).

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

2212354104604 is a wasteful number, since it uses less digits than its factorization.

2212354104604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29363 (or 29361 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 2212354104604 its reverse (4064014532122), we get a palindrome (6276368636726).

The spelling of 2212354104604 in words is "two trillion, two hundred twelve billion, three hundred fifty-four million, one hundred four thousand, six hundred four".

Divisors: 1 2 4 7 14 19 28 38 76 113 133 226 266 452 532 791 1319 1582 2147 2638 3164 4294 5276 8588 9233 15029 18466 25061 27901 30058 36932 50122 55802 60116 100244 111604 149047 175427 195307 298094 350854 390614 530119 596188 701708 781228 1043329 1060238 2086658 2120476 2831893 3152813 3710833 4173316 5663786 6305626 7421666 11327572 12611252 14843332 19823251 22069691 36801419 39646502 44139382 59903447 73602838 79293004 88278764 119806894 147205676 239613788 257609933 419324129 515219866 699226961 838648258 1030439732 1398453922 1677296516 2796907844 4158560347 4894588727 8317120694 9789177454 16634241388 19578354908 29109922429 58219844858 79012646593 116439689716 158025293186 316050586372 553088526151 1106177052302 2212354104604