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2200234113140 = 2257157491203873
BaseRepresentation
bin100000000001001000001…
…011000011100001110100
321210100012002122201022112
4200001020023003201310
5242022034413110030
64402435032550152
7314650565245460
oct40011013034164
97710162581275
102200234113140
11779128884718
122b6505b52358
1312c634222a1b
14786c5ab34a0
153c376c98a95
hex200482c3874

2200234113140 has 96 divisors (see below), whose sum is σ = 5325045352704. Its totient is φ = 748030832640.

The previous prime is 2200234113083. The next prime is 2200234113179. The reversal of 2200234113140 is 413114320022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10690244 + ... + 10894116.

It is an arithmetic number, because the mean of its divisors is an integer number (55469222424).

Almost surely, 22200234113140 is an apocalyptic number.

2200234113140 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 2200234113140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2662522676352).

2200234113140 is an abundant number, since it is smaller than the sum of its proper divisors (3124811239564).

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

2200234113140 is a wasteful number, since it uses less digits than its factorization.

2200234113140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204537 (or 204535 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 2200234113140 its reverse (413114320022), we get a palindrome (2613348433162).

The spelling of 2200234113140 in words is "two trillion, two hundred billion, two hundred thirty-four million, one hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 157 314 491 628 785 982 1099 1570 1964 2198 2455 3140 3437 4396 4910 5495 6874 9820 10990 13748 17185 21980 34370 68740 77087 154174 203873 308348 385435 407746 539609 770870 815492 1019365 1079218 1427111 1541740 2038730 2158436 2698045 2854222 4077460 5396090 5708444 7135555 10792180 14271110 28542220 32008061 64016122 100101643 128032244 160040305 200203286 224056427 320080610 400406572 448112854 500508215 640161220 700711501 896225708 1001016430 1120282135 1401423002 2002032860 2240564270 2802846004 3503557505 4481128540 7007115010 14014230020 15715957951 31431915902 62863831804 78579789755 110011705657 157159579510 220023411314 314319159020 440046822628 550058528285 1100117056570 2200234113140