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2131345722 = 2311415631399
BaseRepresentation
bin111111100001001…
…1100000100111010
312111112111120200110
41333002130010322
513331111030342
6551254045150
7103550065632
oct17702340472
95445446613
102131345722
119a40a8650
124b59497b6
1327c74451c
141630c96c2
15c71a9c9c
hex7f09c13a

2131345722 has 64 divisors (see below), whose sum is σ = 4775500800. Its totient is φ = 628540800.

The previous prime is 2131345721. The next prime is 2131345739. The reversal of 2131345722 is 2275431312.

It is a self number, because there is not a number n which added to its sum of digits gives 2131345722.

It is not an unprimeable number, because it can be changed into a prime (2131345721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1522779 + ... + 1524177.

It is an arithmetic number, because the mean of its divisors is an integer number (74617200).

Almost surely, 22131345722 is an apocalyptic number.

2131345722 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a pronic number, being equal to 46166×46167.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131345722, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387750400).

2131345722 is an abundant number, since it is smaller than the sum of its proper divisors (2644155078).

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

2131345722 is a wasteful number, since it uses less digits than its factorization.

2131345722 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019.

The product of its digits is 10080, while the sum is 30.

The square root of 2131345722 is about 46166.4999972924. The cubic root of 2131345722 is about 1286.9192599054.

The spelling of 2131345722 in words is "two billion, one hundred thirty-one million, three hundred forty-five thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 563 902 1126 1353 1399 1689 2706 2798 3378 4197 6193 8394 12386 15389 18579 23083 30778 37158 46166 46167 57359 69249 92334 114718 138498 172077 253913 344154 507826 630949 761739 787637 1261898 1523478 1575274 1892847 2362911 3785694 4725822 8664007 17328014 25992021 32293117 51984042 64586234 96879351 193758702 355224287 710448574 1065672861 2131345722