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2289967056 = 2432131378929
BaseRepresentation
bin1000100001111110…
…0001111111010000
312220120222101020200
42020133201333100
514142212421211
61015121535200
7110514253536
oct21037417720
95816871220
102289967056
11a75699163
1253aaa4500
132a65715c0
1417a1ba156
15d608db56
hex887e1fd0

2289967056 has 120 divisors (see below), whose sum is σ = 6952862280. Its totient is φ = 699383808.

The previous prime is 2289967051. The next prime is 2289967067. The reversal of 2289967056 is 6507699822.

2289967056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6656400 + 2283310656 = 2580^2 + 47784^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2289966993 and 2289967011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2289967051) 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, 252000 + ... + 260928.

It is an arithmetic number, because the mean of its divisors is an integer number (57940519).

Almost surely, 22289967056 is an apocalyptic number.

2289967056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2289967056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3476431140).

2289967056 is an abundant number, since it is smaller than the sum of its proper divisors (4662895224).

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

2289967056 is a wasteful number, since it uses less digits than its factorization.

2289967056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9093 (or 9084 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 2289967056 is about 47853.6002407342. The cubic root of 2289967056 is about 1318.0839694653.

The spelling of 2289967056 in words is "two billion, two hundred eighty-nine million, nine hundred sixty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 137 144 156 208 234 274 312 411 468 548 624 822 936 1096 1233 1644 1781 1872 2192 2466 3288 3562 4932 5343 6576 7124 8929 9864 10686 14248 16029 17858 19728 21372 26787 28496 32058 35716 42744 53574 64116 71432 80361 85488 107148 116077 128232 142864 160722 214296 232154 256464 321444 348231 428592 464308 642888 696462 928616 1044693 1223273 1285776 1392924 1857232 2089386 2446546 2785848 3669819 4178772 4893092 5571696 7339638 8357544 9786184 11009457 14679276 15902549 16715088 19572368 22018914 29358552 31805098 44037828 47707647 58717104 63610196 88075656 95415294 127220392 143122941 176151312 190830588 254440784 286245882 381661176 572491764 763322352 1144983528 2289967056