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2205243342 = 2323111033583
BaseRepresentation
bin1000001101110001…
…0101011111001110
312200200112222011100
42003130111133032
514004020241332
61002454003530
7105435154611
oct20334253716
95620488140
102205243342
11a31890a65
125166465a6
13291b49123
1416cc44178
15cd90567c
hex837157ce

2205243342 has 48 divisors (see below), whose sum is σ = 4938006528. Its totient is φ = 710525520.

The previous prime is 2205243319. The next prime is 2205243353. The reversal of 2205243342 is 2433425022.

It is a happy number.

2205243342 is a `hidden beast` number, since 220 + 5 + 2 + 433 + 4 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 613683 + ... + 617265.

It is an arithmetic number, because the mean of its divisors is an integer number (102875136).

Almost surely, 22205243342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2205243342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469003264).

2205243342 is an abundant number, since it is smaller than the sum of its proper divisors (2732763186).

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

2205243342 is a wasteful number, since it uses less digits than its factorization.

2205243342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4725 (or 4722 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 2205243342 is about 46960.0185476965. The cubic root of 2205243342 is about 1301.6238764333.

Adding to 2205243342 its reverse (2433425022), we get a palindrome (4638668364).

The spelling of 2205243342 in words is "two billion, two hundred five million, two hundred forty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 1103 2206 3309 3583 6618 7166 9927 10749 19854 21498 32247 34193 64494 68386 102579 111073 205158 222146 307737 333219 615474 666438 999657 1999314 3952049 7904098 11856147 23712294 35568441 71136882 122513519 245027038 367540557 735081114 1102621671 2205243342