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2309256096 = 25373799067
BaseRepresentation
bin1000100110100100…
…0111001110100000
312221221021100211120
42021221013032200
514212132143341
61021051212240
7111140232030
oct21151071640
95857240746
102309256096
11a85573314
12545447080
132aa566234
1417c99b8c0
15d7aee066
hex89a473a0

2309256096 has 96 divisors (see below), whose sum is σ = 6946813440. Its totient is φ = 657974016.

The previous prime is 2309256071. The next prime is 2309256119. The reversal of 2309256096 is 6906529032.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×23092560962 = 10665327433826322432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 250155 + ... + 259221.

It is an arithmetic number, because the mean of its divisors is an integer number (72362640).

Almost surely, 22309256096 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 2309256096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473406720).

2309256096 is an abundant number, since it is smaller than the sum of its proper divisors (4637557344).

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

2309256096 is a wasteful number, since it uses less digits than its factorization.

2309256096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9466 (or 9458 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 2309256096 is about 48054.7198098168. The cubic root of 2309256096 is about 1321.7744913314.

The spelling of 2309256096 in words is "two billion, three hundred nine million, two hundred fifty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 379 672 758 1137 1516 2274 2653 3032 4548 5306 6064 7959 9067 9096 10612 12128 15918 18134 18192 21224 27201 31836 36268 36384 42448 54402 63469 63672 72536 84896 108804 126938 127344 145072 190407 217608 253876 254688 290144 380814 435216 507752 761628 870432 1015504 1523256 2031008 3046512 3436393 6093024 6872786 10309179 13745572 20618358 24054751 27491144 41236716 48109502 54982288 72164253 82473432 96219004 109964576 144328506 164946864 192438008 288657012 329893728 384876016 577314024 769752032 1154628048 2309256096