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2230144422 = 231117592571
BaseRepresentation
bin1000010011101101…
…0100110110100110
312202102102002000120
42010323110312212
514031404110142
61005143422410
7106156625532
oct20473246646
95672362016
102230144422
11a44949570
12522a54a06
132970572ac
14172286bc2
15d0bc37ec
hex84ed4da6

2230144422 has 96 divisors (see below), whose sum is σ = 5249971584. Its totient is φ = 624172800.

The previous prime is 2230144421. The next prime is 2230144453. The reversal of 2230144422 is 2244410322.

2230144422 is digitally balanced in base 2, because in such base 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 = 2230144392 and 2230144401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230144421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3905397 + ... + 3905967.

It is an arithmetic number, because the mean of its divisors is an integer number (54687204).

Almost surely, 22230144422 is an apocalyptic number.

2230144422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230144422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624985792).

2230144422 is an abundant number, since it is smaller than the sum of its proper divisors (3019827162).

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

2230144422 is a wasteful number, since it uses less digits than its factorization.

2230144422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 663 counting only the distinct ones).

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

The square root of 2230144422 is about 47224.4049406660. The cubic root of 2230144422 is about 1306.5047594436.

Adding to 2230144422 its reverse (2244410322), we get a palindrome (4474554744).

The spelling of 2230144422 in words is "two billion, two hundred thirty million, one hundred forty-four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 59 66 102 118 177 187 354 374 561 571 649 1003 1122 1142 1298 1713 1947 2006 3009 3426 3481 3894 6018 6281 6962 9707 10443 11033 12562 18843 19414 20886 22066 29121 33099 33689 37686 38291 58242 59177 66198 67378 76582 101067 106777 114873 118354 177531 202134 213554 229746 320331 355062 370579 572713 640662 650947 741158 1111737 1145426 1301894 1718139 1952841 1987651 2223474 3436278 3905682 3975302 5962953 6299843 11925906 12599686 18899529 21864161 33790067 37799058 43728322 65592483 67580134 101370201 131184966 202740402 371690737 743381474 1115072211 2230144422