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2216141540 = 225239749667
BaseRepresentation
bin1000010000010111…
…1010001011100100
312201110001122200022
42010011322023210
514014313012130
61003523334312
7105626615024
oct20405721344
95643048608
102216141540
11a37a54a38
1251a221398
13294193772
1417047da84
15ce8597e5
hex8417a2e4

2216141540 has 48 divisors (see below), whose sum is σ = 4906403712. Its totient is φ = 839156736.

The previous prime is 2216141537. The next prime is 2216141549. The reversal of 2216141540 is 451416122.

It is a super-2 number, since 2×22161415402 = 9822566650627143200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2216141549) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19787 + ... + 69453.

It is an arithmetic number, because the mean of its divisors is an integer number (102216744).

Almost surely, 22216141540 is an apocalyptic number.

2216141540 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 2216141540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453201856).

2216141540 is an abundant number, since it is smaller than the sum of its proper divisors (2690262172).

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

2216141540 is a wasteful number, since it uses less digits than its factorization.

2216141540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49796 (or 49794 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 2216141540 is about 47075.9125243473. The cubic root of 2216141540 is about 1303.7645398000.

Adding to 2216141540 its reverse (451416122), we get a palindrome (2667557662).

The spelling of 2216141540 in words is "two billion, two hundred sixteen million, one hundred forty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 97 115 194 230 388 460 485 970 1940 2231 4462 8924 11155 22310 44620 49667 99334 198668 248335 496670 993340 1142341 2284682 4569364 4817699 5711705 9635398 11423410 19270796 22846820 24088495 48176990 96353980 110807077 221614154 443228308 554035385 1108070770 2216141540