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3144122322 = 231121633
BaseRepresentation
bin1011101101100111…
…0111111111010010
322010010012221222220
42323121313333102
522414343403242
61235553241510
7140625412245
oct27331677722
98103187886
103144122322
111373858700
12738b63296
133b1506013
1421b80125c
15136061bec
hexbb677fd2

3144122322 has 48 divisors (see below), whose sum is σ = 6954538080. Its totient is φ = 946919160.

The previous prime is 3144122309. The next prime is 3144122327. The reversal of 3144122322 is 2232214413.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3144122292 and 3144122301.

It is not an unprimeable number, because it can be changed into a prime (3144122327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19289013 + ... + 19289175.

It is an arithmetic number, because the mean of its divisors is an integer number (144886210).

Almost surely, 23144122322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3144122322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3477269040).

3144122322 is an abundant number, since it is smaller than the sum of its proper divisors (3810415758).

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

3144122322 is an frugal number, since it uses more digits than its factorization.

3144122322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 179 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 3144122322 is about 56072.4738352072. The cubic root of 3144122322 is about 1464.9848875733.

Adding to 3144122322 its reverse (2232214413), we get a palindrome (5376336735).

The spelling of 3144122322 in words is "three billion, one hundred forty-four million, one hundred twenty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 121 163 242 326 363 489 726 978 1793 3586 5379 10758 19723 26569 39446 53138 59169 79707 118338 159414 292259 584518 876777 1753554 3214849 4330747 6429698 8661494 9644547 12992241 19289094 25984482 47638217 95276434 142914651 285829302 524020387 1048040774 1572061161 3144122322