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2291376384 = 28331130137
BaseRepresentation
bin1000100010010011…
…1010000100000000
312220200121222111000
42020210322010000
514143043021014
61015212052000
7110532243423
oct21044720400
95820558430
102291376384
11a76470aa0
1253b464000
132a6945c1b
1417a4659ba
15d626b509
hex8893a100

2291376384 has 144 divisors (see below), whose sum is σ = 7392248640. Its totient is φ = 694333440.

The previous prime is 2291376379. The next prime is 2291376407. The reversal of 2291376384 is 4836731922.

2291376384 is a `hidden beast` number, since 2 + 2 + 9 + 1 + 3 + 7 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60964 + ... + 91100.

It is an arithmetic number, because the mean of its divisors is an integer number (51335060).

Almost surely, 22291376384 is an apocalyptic number.

2291376384 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 2291376384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3696124320).

2291376384 is an abundant number, since it is smaller than the sum of its proper divisors (5100872256).

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

2291376384 is a wasteful number, since it uses less digits than its factorization.

2291376384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30173 (or 30153 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 2291376384 is about 47868.3233882283. The cubic root of 2291376384 is about 1318.3543127568.

The spelling of 2291376384 in words is "two billion, two hundred ninety-one million, three hundred seventy-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 528 576 594 704 768 792 864 1056 1152 1188 1408 1584 1728 2112 2304 2376 2816 3168 3456 4224 4752 6336 6912 8448 9504 12672 19008 25344 30137 38016 60274 76032 90411 120548 180822 241096 271233 331507 361644 482192 542466 663014 723288 813699 964384 994521 1084932 1326028 1446576 1627398 1928768 1989042 2169864 2652056 2893152 2983563 3254796 3857536 3978084 4339728 5304112 5786304 5967126 6509592 7715072 7956168 8679456 8950689 10608224 11572608 11934252 13019184 15912336 17358912 17901378 21216448 23145216 23868504 26038368 31824672 34717824 35802756 42432896 47737008 52076736 63649344 69435648 71605512 84865792 95474016 104153472 127298688 143211024 190948032 208306944 254597376 286422048 381896064 572844096 763792128 1145688192 2291376384