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2280148079 = 11323211353
BaseRepresentation
bin1000011111101000…
…0100110001101111
312212220111112010212
42013322010301233
514132204214304
61014131253035
7110334640016
oct20772046157
95786445125
102280148079
11a700a2000
1253774a17b
132a4514261
14178b81a7d
15d529e66e
hex87e84c6f

2280148079 has 32 divisors (see below), whose sum is σ = 2636886528. Its totient is φ = 1967750400.

The previous prime is 2280148037. The next prime is 2280148081. The reversal of 2280148079 is 9708410822.

It is a de Polignac number, because none of the positive numbers 2k-2280148079 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2280148379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6459167 + ... + 6459519.

It is an arithmetic number, because the mean of its divisors is an integer number (82402704).

Almost surely, 22280148079 is an apocalyptic number.

2280148079 is a deficient number, since it is larger than the sum of its proper divisors (356738449).

2280148079 is a wasteful number, since it uses less digits than its factorization.

2280148079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The square root of 2280148079 is about 47750.8961067748. The cubic root of 2280148079 is about 1316.1973661406.

The spelling of 2280148079 in words is "two billion, two hundred eighty million, one hundred forty-eight thousand, seventy-nine".

Divisors: 1 11 23 121 211 253 353 1331 2321 2783 3883 4853 8119 25531 30613 42713 53383 74483 89309 280841 469843 587213 819313 982399 1713109 6459343 9012443 10806389 18844199 99136873 207286189 2280148079