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2199311590 = 257217833181
BaseRepresentation
bin1000001100010110…
…1101010011100110
312200021101121022211
42003011231103212
514001010432330
61002122514034
7105333561100
oct20305552346
95607347284
102199311590
11a294aa393
1251466591a
13290850208
1416c13c570
15cd132d2a
hex8316d4e6

2199311590 has 96 divisors (see below), whose sum is σ = 4936274784. Its totient is φ = 700922880.

The previous prime is 2199311557. The next prime is 2199311591. The reversal of 2199311590 is 951139912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2199311591) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 689800 + ... + 692980.

It is an arithmetic number, because the mean of its divisors is an integer number (51419529).

Almost surely, 22199311590 is an apocalyptic number.

2199311590 is an abundant number, since it is smaller than the sum of its proper divisors (2736963194).

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

2199311590 is a wasteful number, since it uses less digits than its factorization.

2199311590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302 (or 3295 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 40.

The square root of 2199311590 is about 46896.8185488099. The cubic root of 2199311590 is about 1300.4557750995.

The spelling of 2199311590 in words is "two billion, one hundred ninety-nine million, three hundred eleven thousand, five hundred ninety".

Divisors: 1 2 5 7 10 14 17 34 35 49 70 83 85 98 119 166 170 238 245 415 490 581 595 830 833 1162 1190 1411 1666 2822 2905 3181 4067 4165 5810 6362 7055 8134 8330 9877 14110 15905 19754 20335 22267 31810 40670 44534 49385 54077 69139 98770 108154 111335 138278 155869 222670 264023 270385 311738 345695 378539 528046 540770 691390 757078 779345 1320115 1558690 1848161 1892695 2640230 2649773 3696322 3785390 4488391 5299546 8976782 9240805 12937127 13248865 18481610 22441955 25874254 26497730 31418737 44883910 62837474 64685635 129371270 157093685 219931159 314187370 439862318 1099655795 2199311590