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2325296128 = 21083109251
BaseRepresentation
bin1000101010011001…
…0011010000000000
320000001110021121211
42022212103100000
514230233434003
61022423055504
7111423456001
oct21246232000
96001407554
102325296128
11a93629441
1254a8a1594
132b099108c
14180b751a8
15d921b96d
hex8a993400

2325296128 has 88 divisors (see below), whose sum is σ = 4766398560. Its totient is φ = 1133568000.

The previous prime is 2325296107. The next prime is 2325296131. The reversal of 2325296128 is 8216925232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9264003 + ... + 9264253.

It is an arithmetic number, because the mean of its divisors is an integer number (54163620).

Almost surely, 22325296128 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 2325296128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383199280).

2325296128 is an abundant number, since it is smaller than the sum of its proper divisors (2441102432).

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

2325296128 is a wasteful number, since it uses less digits than its factorization.

2325296128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 445 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The square root of 2325296128 is about 48221.3244115091. The cubic root of 2325296128 is about 1324.8277698054.

The spelling of 2325296128 in words is "two billion, three hundred twenty-five million, two hundred ninety-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 83 109 128 166 218 251 256 332 436 502 512 664 872 1004 1024 1328 1744 2008 2656 3488 4016 5312 6976 8032 9047 10624 13952 16064 18094 20833 21248 27359 27904 32128 36188 41666 42496 54718 55808 64256 72376 83332 84992 109436 111616 128512 144752 166664 218872 257024 289504 333328 437744 579008 666656 875488 1158016 1333312 1750976 2270797 2316032 2666624 3501952 4541594 4632064 5333248 7003904 9083188 9264128 10666496 14007808 18166376 21332992 28015616 36332752 72665504 145331008 290662016 581324032 1162648064 2325296128