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2193805240 = 2351110348407
BaseRepresentation
bin1000001011000010…
…1100111110111000
312122220000212000221
42002300230332320
513443103231430
61001404505424
7105236015434
oct20260547670
95586025027
102193805240
11a26389390
1251284b274
1328c672b13
1416b5079c4
15cc8e657a
hex82c2cfb8

2193805240 has 64 divisors (see below), whose sum is σ = 5437186560. Its totient is φ = 789985920.

The previous prime is 2193805231. The next prime is 2193805259. The reversal of 2193805240 is 425083912.

It is a junction number, because it is equal to n+sod(n) for n = 2193805196 and 2193805205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21117 + ... + 69523.

It is an arithmetic number, because the mean of its divisors is an integer number (84956040).

Almost surely, 22193805240 is an apocalyptic number.

2193805240 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 2193805240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718593280).

2193805240 is an abundant number, since it is smaller than the sum of its proper divisors (3243381320).

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

2193805240 is a wasteful number, since it uses less digits than its factorization.

2193805240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48532 (or 48528 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 2193805240 is about 46838.0746828902. The cubic root of 2193805240 is about 1299.3695641416.

The spelling of 2193805240 in words is "two billion, one hundred ninety-three million, eight hundred five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 103 110 206 220 412 440 515 824 1030 1133 2060 2266 4120 4532 5665 9064 11330 22660 45320 48407 96814 193628 242035 387256 484070 532477 968140 1064954 1936280 2129908 2662385 4259816 4985921 5324770 9971842 10649540 19943684 21299080 24929605 39887368 49859210 54845131 99718420 109690262 199436840 219380524 274225655 438761048 548451310 1096902620 2193805240