Search a number
-
+
2258435142 = 233178093041
BaseRepresentation
bin1000011010011100…
…1111110001000110
312211101122101121000
42012213033301012
514111124411032
61012034034130
7106652245005
oct20647176106
95741571530
102258435142
11a59911827
12530418946
1329cb81272
14175d2cc3c
15d3410e7c
hex869cfc46

2258435142 has 64 divisors (see below), whose sum is σ = 5322283200. Its totient is φ = 707420160.

The previous prime is 2258435131. The next prime is 2258435143. The reversal of 2258435142 is 2415348522.

2258435142 is a `hidden beast` number, since 2 + 2 + 584 + 35 + 1 + 42 = 666.

2258435142 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2258435097 and 2258435106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2258435143) 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, 741142 + ... + 744182.

It is an arithmetic number, because the mean of its divisors is an integer number (83160675).

Almost surely, 22258435142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2258435142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661141600).

2258435142 is an abundant number, since it is smaller than the sum of its proper divisors (3063848058).

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

2258435142 is a wasteful number, since it uses less digits than its factorization.

2258435142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3878 (or 3872 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 2258435142 is about 47522.9959282872. The cubic root of 2258435142 is about 1312.0061606610.

The spelling of 2258435142 in words is "two billion, two hundred fifty-eight million, four hundred thirty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 809 918 1618 2427 3041 4854 6082 7281 9123 13753 14562 18246 21843 27369 27506 41259 43686 51697 54738 82107 82518 103394 123777 155091 164214 247554 310182 371331 465273 742662 930546 1395819 2460169 2791638 4920338 7380507 14761014 22141521 41822873 44283042 66424563 83645746 125468619 132849126 250937238 376405857 752811714 1129217571 2258435142