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2280384256 = 28194310903
BaseRepresentation
bin1000011111101011…
…1110011100000000
312212220221112010011
42013322332130000
514132234244011
61014140314304
7110336642413
oct20772763400
95786845104
102280384256
11a70243497
12537842994
132a45978c7
14178c03b7a
15d52e9621
hex87ebe700

2280384256 has 72 divisors (see below), whose sum is σ = 4903310720. Its totient is φ = 1054964736.

The previous prime is 2280384251. The next prime is 2280384269. The reversal of 2280384256 is 6524830822.

It is a happy number.

2280384256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2280384251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203701 + ... + 214603.

Almost surely, 22280384256 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 2280384256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451655360).

2280384256 is an abundant number, since it is smaller than the sum of its proper divisors (2622926464).

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

2280384256 is a wasteful number, since it uses less digits than its factorization.

2280384256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10981 (or 10967 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 2280384256 is about 47753.3690539212. The cubic root of 2280384256 is about 1316.2428083374.

The spelling of 2280384256 in words is "two billion, two hundred eighty million, three hundred eighty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 19 32 38 43 64 76 86 128 152 172 256 304 344 608 688 817 1216 1376 1634 2432 2752 3268 4864 5504 6536 10903 11008 13072 21806 26144 43612 52288 87224 104576 174448 207157 209152 348896 414314 468829 697792 828628 937658 1395584 1657256 1875316 2791168 3314512 3750632 6629024 7501264 8907751 13258048 15002528 17815502 26516096 30005056 35631004 53032192 60010112 71262008 120020224 142524016 285048032 570096064 1140192128 2280384256