Search a number
-
+
2230124442 = 237138945893
BaseRepresentation
bin1000010011101100…
…1111111110011010
312202102101001121120
42010323033332122
514031402440232
61005143150110
7106156513350
oct20473177632
95672331546
102230124442
11a44935557
12522a45336
1329704b180
1417227d7d0
15d0bbc92c
hex84ecff9a

2230124442 has 64 divisors (see below), whose sum is σ = 5551338240. Its totient is φ = 581543424.

The previous prime is 2230124431. The next prime is 2230124471. The reversal of 2230124442 is 2444210322.

It is a super-2 number, since 2×22301244422 = 9946910053611622728, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25648 + ... + 71540.

It is an arithmetic number, because the mean of its divisors is an integer number (86739660).

Almost surely, 22230124442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230124442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775669120).

2230124442 is an abundant number, since it is smaller than the sum of its proper divisors (3321213798).

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

2230124442 is a wasteful number, since it uses less digits than its factorization.

2230124442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46007.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2230124442 is about 47224.1933970290. The cubic root of 2230124442 is about 1306.5008577467.

Adding to 2230124442 its reverse (2444210322), we get a palindrome (4674334764).

The spelling of 2230124442 in words is "two billion, two hundred thirty million, one hundred twenty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 89 91 178 182 267 273 534 546 623 1157 1246 1869 2314 3471 3738 6942 8099 16198 24297 45893 48594 91786 137679 275358 321251 596609 642502 963753 1193218 1789827 1927506 3579654 4084477 4176263 8168954 8352526 12253431 12528789 24506862 25057578 28591339 53098201 57182678 85774017 106196402 159294603 171548034 318589206 371687407 743374814 1115062221 2230124442