Search a number
-
+
2290341258 = 23453614373
BaseRepresentation
bin1000100010000011…
…1101010110001010
312220121200101120000
42020200331112022
514142311410013
61015133543430
7110520402522
oct21040752612
95817611500
102290341258
11a75924317
1253b044b76
132a6672a1a
1417a276682
15d6114973
hex8883d58a

2290341258 has 80 divisors (see below), whose sum is σ = 5315827176. Its totient is φ = 736594560.

The previous prime is 2290341253. The next prime is 2290341271. The reversal of 2290341258 is 8521430922.

It is a happy number.

2290341258 is a `hidden beast` number, since 2 + 290 + 341 + 25 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1679114529 + 611226729 = 40977^2 + 24723^2 .

It is not an unprimeable number, because it can be changed into a prime (2290341253) 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 39 ways as a sum of consecutive naturals, for example, 521560 + ... + 525932.

Almost surely, 22290341258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2290341258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657913588).

2290341258 is an abundant number, since it is smaller than the sum of its proper divisors (3025485918).

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

2290341258 is a wasteful number, since it uses less digits than its factorization.

2290341258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4501 (or 4492 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2290341258 is about 47857.5099435815. The cubic root of 2290341258 is about 1318.1557612978.

The spelling of 2290341258 in words is "two billion, two hundred ninety million, three hundred forty-one thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 53 54 61 81 106 122 159 162 183 318 366 477 549 954 1098 1431 1647 2862 3233 3294 4293 4373 4941 6466 8586 8746 9699 9882 13119 19398 26238 29097 39357 58194 78714 87291 118071 174582 231769 236142 261873 266753 354213 463538 523746 533506 695307 708426 800259 1390614 1600518 2085921 2400777 4171842 4801554 6257763 7202331 12515526 14137909 14404662 18773289 21606993 28275818 37546578 42413727 43213986 84827454 127241181 254482362 381723543 763447086 1145170629 2290341258