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2291350272 = 28341531373
BaseRepresentation
bin1000100010010011…
…0011101100000000
312220200120122122220
42020210303230000
514143041202042
61015211331040
7110532104331
oct21044635400
95820518586
102291350272
11a76453412
1253b450a80
132a6937083
1417a45a288
15d62638ec
hex88933b00

2291350272 has 144 divisors (see below), whose sum is σ = 6369578208. Its totient is φ = 730562560.

The previous prime is 2291350267. The next prime is 2291350273. The reversal of 2291350272 is 2720531922.

It is not an unprimeable number, because it can be changed into a prime (2291350273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1668178 + ... + 1669550.

It is an arithmetic number, because the mean of its divisors is an integer number (44233182).

Almost surely, 22291350272 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 2291350272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3184789104).

2291350272 is an abundant number, since it is smaller than the sum of its proper divisors (4078227936).

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

2291350272 is a wasteful number, since it uses less digits than its factorization.

2291350272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 2291350272 is about 47868.0506392312. The cubic root of 2291350272 is about 1318.3493048500.

The spelling of 2291350272 in words is "two billion, two hundred ninety-one million, three hundred fifty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 53 64 82 96 106 123 128 159 164 192 212 246 256 318 328 384 424 492 636 656 768 848 984 1272 1312 1373 1696 1968 2173 2544 2624 2746 3392 3936 4119 4346 5088 5248 5492 6519 6784 7872 8238 8692 10176 10496 10984 13038 13568 15744 16476 17384 20352 21968 26076 31488 32952 34768 40704 43936 52152 56293 65904 69536 72769 87872 104304 112586 131808 139072 145538 168879 175744 208608 218307 225172 263616 278144 291076 337758 351488 417216 436614 450344 527232 556288 582152 675516 834432 873228 900688 1054464 1164304 1351032 1668864 1746456 1801376 2328608 2702064 2983529 3492912 3602752 4657216 5404128 5967058 6985824 7205504 8950587 9314432 10808256 11934116 13971648 14411008 17901174 18628864 21616512 23868232 27943296 35802348 43233024 47736464 55886592 71604696 95472928 143209392 190945856 286418784 381891712 572837568 763783424 1145675136 2291350272