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2280993024 = 2836797457
BaseRepresentation
bin1000011111110101…
…0011000100000000
312212222002110012010
42013331103010000
514132413234044
61014201332520
7110345056302
oct20775230400
95788073163
102280993024
11a70619902
12537a97140
132a474ba1b
14178d21972
15d53b9bb9
hex87f53100

2280993024 has 144 divisors (see below), whose sum is σ = 6238516928. Its totient is φ = 739639296.

The previous prime is 2280993017. The next prime is 2280993059. The reversal of 2280993024 is 4203990822.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4991004 + ... + 4991460.

Almost surely, 22280993024 is an apocalyptic number.

2280993024 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 2280993024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119258464).

2280993024 is an abundant number, since it is smaller than the sum of its proper divisors (3957523904).

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

2280993024 is an equidigital number, since it uses as much as digits as its factorization.

2280993024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 2280993024 is about 47759.7427128748. The cubic root of 2280993024 is about 1316.3599253257.

The spelling of 2280993024 in words is "two billion, two hundred eighty million, nine hundred ninety-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 97 128 134 192 194 201 256 268 291 384 388 402 457 536 582 768 776 804 914 1072 1164 1371 1552 1608 1828 2144 2328 2742 3104 3216 3656 4288 4656 5484 6208 6432 6499 7312 8576 9312 10968 12416 12864 12998 14624 17152 18624 19497 21936 24832 25728 25996 29248 30619 37248 38994 43872 44329 51456 51992 58496 61238 74496 77988 87744 88658 91857 103984 116992 122476 132987 155976 175488 177316 183714 207968 244952 265974 311952 350976 354632 367428 415936 489904 531948 623904 709264 734856 831872 979808 1063896 1247808 1418528 1469712 1663744 1959616 2127792 2495616 2837056 2939424 2970043 3919232 4255584 4991232 5674112 5878848 5940086 7838464 8511168 8910129 11348224 11757696 11880172 17022336 17820258 23515392 23760344 34044672 35640516 47520688 71281032 95041376 142562064 190082752 285124128 380165504 570248256 760331008 1140496512 2280993024