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2280564078 = 231328292713
BaseRepresentation
bin1000011111101110…
…1010010101101110
312212221021122210020
42013323222111232
514132311022303
61014144223010
7110341321602
oct20773522556
95787248706
102280564078
11a70356601
1253790aa66
132a462b700
14178c4d502
15d5332a53
hex87eea56e

2280564078 has 48 divisors (see below), whose sum is σ = 4946753520. Its totient is φ = 700607232.

The previous prime is 2280564071. The next prime is 2280564101. The reversal of 2280564078 is 8704650822.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2280564071) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 839250 + ... + 841962.

It is an arithmetic number, because the mean of its divisors is an integer number (103057365).

Almost surely, 22280564078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2280564078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473376760).

2280564078 is an abundant number, since it is smaller than the sum of its proper divisors (2666189442).

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

2280564078 is a wasteful number, since it uses less digits than its factorization.

2280564078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3573 (or 3560 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 2280564078 is about 47755.2518368399. The cubic root of 2280564078 is about 1316.2774053126.

The spelling of 2280564078 in words is "two billion, two hundred eighty million, five hundred sixty-four thousand, seventy-eight".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 829 1014 1658 2487 2713 4974 5426 8139 10777 16278 21554 32331 35269 64662 70538 105807 140101 211614 280202 420303 458497 840606 916994 1375491 2249077 2750982 4498154 6747231 13494462 29238001 58476002 87714003 175428006 380094013 760188026 1140282039 2280564078