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2195237142 = 2327218113751
BaseRepresentation
bin1000001011011000…
…1010100100010110
312122222201121020100
42002312022210112
513443440042032
61001455314530
7105254131200
oct20266124426
95588647210
102195237142
11a2717717a
1251321ba46
1328ca547b7
1416b79b770
15ccaca97c
hex82d8a916

2195237142 has 72 divisors (see below), whose sum is σ = 5563866672. Its totient is φ = 623700000.

The previous prime is 2195237141. The next prime is 2195237153. The reversal of 2195237142 is 2417325912.

2195237142 is a `hidden beast` number, since 21 + 9 + 523 + 71 + 42 = 666.

It is a super-2 number, since 2×21952371422 = 9638132219232656328, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2195237097 and 2195237106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2195237141) 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 35 ways as a sum of consecutive naturals, for example, 152767 + ... + 166517.

It is an arithmetic number, because the mean of its divisors is an integer number (77275926).

Almost surely, 22195237142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2195237142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781933336).

2195237142 is an abundant number, since it is smaller than the sum of its proper divisors (3368629530).

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

2195237142 is a wasteful number, since it uses less digits than its factorization.

2195237142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13954 (or 13944 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 2195237142 is about 46853.3578519192. The cubic root of 2195237142 is about 1299.6522032126.

The spelling of 2195237142 in words is "two billion, one hundred ninety-five million, two hundred thirty-seven thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 181 294 362 441 543 882 1086 1267 1629 2534 3258 3801 7602 8869 11403 13751 17738 22806 26607 27502 41253 53214 79821 82506 96257 123759 159642 192514 247518 288771 577542 673799 866313 1347598 1732626 2021397 2488931 4042794 4977862 6064191 7466793 12128382 14933586 17422517 22400379 34845034 44800758 52267551 104535102 121957619 156802653 243915238 313605306 365872857 731745714 1097618571 2195237142