Search a number
-
+
22541122352 = 2474115493169
BaseRepresentation
bin10100111111100011…
…100011101100110000
32011011221002122210102
4110333203203230300
5332131011403402
614204422251532
71425406243610
oct247743435460
964157078712
1022541122352
11961796a941
124450b86ba8
132182ca4728
14113b99ca40
158bddbb102
hex53f8e3b30

22541122352 has 80 divisors (see below), whose sum is σ = 51179016000. Its totient is φ = 9415802880.

The previous prime is 22541122333. The next prime is 22541122363. The reversal of 22541122352 is 25322114522.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 7111424 + ... + 7114592.

It is an arithmetic number, because the mean of its divisors is an integer number (639737700).

Almost surely, 222541122352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22541122352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25589508000).

22541122352 is an abundant number, since it is smaller than the sum of its proper divisors (28637893648).

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

22541122352 is a wasteful number, since it uses less digits than its factorization.

22541122352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4774 (or 4768 counting only the distinct ones).

The product of its digits is 9600, while the sum is 29.

Adding to 22541122352 its reverse (25322114522), we get a palindrome (47863236874).

The spelling of 22541122352 in words is "twenty-two billion, five hundred forty-one million, one hundred twenty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 656 1148 1549 2296 3098 3169 4592 6196 6338 10843 12392 12676 21686 22183 24784 25352 43372 44366 50704 63509 86744 88732 127018 129929 173488 177464 254036 259858 354928 444563 508072 519716 889126 909503 1016144 1039432 1778252 1819006 2078864 3556504 3638012 4908781 7113008 7276024 9817562 14552048 19635124 34361467 39270248 68722934 78540496 137445868 201260021 274891736 402520042 549783472 805040084 1408820147 1610080168 2817640294 3220160336 5635280588 11270561176 22541122352