Search a number
-
+
2232051234 = 2374413779
BaseRepresentation
bin1000010100001010…
…0110011000100010
312202112222221200020
42011002212120202
514032401114414
61005252334310
7106212060000
oct20502463042
95675887606
102232051234
11a45a31146
12523614396
1329757419a
14172621a70
15d0e4d7a9
hex850a6622

2232051234 has 80 divisors (see below), whose sum is σ = 5336241120. Its totient is φ = 622009920.

The previous prime is 2232051209. The next prime is 2232051247. The reversal of 2232051234 is 4321502322.

It is a super-3 number, since 3×22320512343 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 588757 + ... + 592535.

It is an arithmetic number, because the mean of its divisors is an integer number (66703014).

Almost surely, 22232051234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2232051234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668120560).

2232051234 is an abundant number, since it is smaller than the sum of its proper divisors (3104189886).

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

2232051234 is an equidigital number, since it uses as much as digits as its factorization.

2232051234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3853 (or 3832 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2232051234 is about 47244.5894680015. The cubic root of 2232051234 is about 1306.8770147473.

Adding to 2232051234 its reverse (4321502322), we get a palindrome (6553553556).

The spelling of 2232051234 in words is "two billion, two hundred thirty-two million, fifty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 41 42 49 82 98 123 147 246 287 294 343 574 686 861 1029 1722 2009 2058 2401 3779 4018 4802 6027 7203 7558 11337 12054 14063 14406 22674 26453 28126 42189 52906 79359 84378 98441 154939 158718 185171 196882 295323 309878 370342 464817 555513 590646 929634 1084573 1111026 1296197 2169146 2592394 3253719 3888591 6507438 7592011 7777182 9073379 15184022 18146758 22776033 27220137 45552066 53144077 54440274 106288154 159432231 318864462 372008539 744017078 1116025617 2232051234