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2280335064 = 233743479659
BaseRepresentation
bin1000011111101011…
…0010011011011000
312212220212000122020
42013322302123120
514132231210224
61014135254440
7110336346120
oct20772623330
95786760566
102280335064
11a7020a537
1253781a420
132a457b3b7
14178bcdc80
15d52d9c79
hex87eb26d8

2280335064 has 128 divisors (see below), whose sum is σ = 6690816000. Its totient is φ = 634080384.

The previous prime is 2280335053. The next prime is 2280335087. The reversal of 2280335064 is 4605330822.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 3459967 + ... + 3460625.

It is an arithmetic number, because the mean of its divisors is an integer number (52272000).

Almost surely, 22280335064 is an apocalyptic number.

2280335064 is a gapful number since it is divisible by the number (24) 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 2280335064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3345408000).

2280335064 is an abundant number, since it is smaller than the sum of its proper divisors (4410480936).

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

2280335064 is a wasteful number, since it uses less digits than its factorization.

2280335064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 2280335064 is about 47752.8539880079. The cubic root of 2280335064 is about 1316.2333436925.

Adding to 2280335064 its reverse (4605330822), we get a palindrome (6885665886).

The spelling of 2280335064 in words is "two billion, two hundred eighty million, three hundred thirty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 479 516 602 659 903 958 1032 1204 1318 1437 1806 1916 1977 2408 2636 2874 3353 3612 3832 3954 4613 5272 5748 6706 7224 7908 9226 10059 11496 13412 13839 15816 18452 20118 20597 26824 27678 28337 36904 40236 41194 55356 56674 61791 80472 82388 85011 110712 113348 123582 144179 164776 170022 198359 226696 247164 288358 315661 340044 396718 432537 494328 576716 595077 631322 680088 793436 865074 946983 1153432 1190154 1262644 1586872 1730148 1893966 2209627 2380308 2525288 3460296 3787932 4419254 4760616 6628881 7575864 8838508 13257762 13573423 17677016 26515524 27146846 40720269 53031048 54293692 81440538 95013961 108587384 162881076 190027922 285041883 325762152 380055844 570083766 760111688 1140167532 2280335064