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2325106368 = 263213310511
BaseRepresentation
bin1000101010010110…
…0100111011000000
320000001002122022200
42022211210323000
514230211400433
61022415033200
7111422035524
oct21245447300
96001078280
102325106368
11a93509912
1254a80b800
132b09258b0
14180b25d84
15d91d0613
hex8a964ec0

2325106368 has 84 divisors (see below), whose sum is σ = 7177174368. Its totient is φ = 715415040.

The previous prime is 2325106339. The next prime is 2325106369. The reversal of 2325106368 is 8636015232.

It is a happy number.

2325106368 is a `hidden beast` number, since 2 + 3 + 2 + 5 + 10 + 636 + 8 = 666.

It is a super-2 number, since 2×23251063682 = 10812239245028302848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2325106369) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 147768 + ... + 162743.

It is an arithmetic number, because the mean of its divisors is an integer number (85442552).

Almost surely, 22325106368 is an apocalyptic number.

It is an amenable number.

2325106368 is an abundant number, since it is smaller than the sum of its proper divisors (4852068000).

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

2325106368 is a wasteful number, since it uses less digits than its factorization.

2325106368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310542 (or 310529 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2325106368 is about 48219.3567771284. The cubic root of 2325106368 is about 1324.7917305022.

The spelling of 2325106368 in words is "two billion, three hundred twenty-five million, one hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 310511 621022 931533 1242044 1863066 2484088 2794599 3726132 4036643 4968176 5589198 7452264 8073286 9936352 11178396 12109929 14904528 16146572 19872704 22356792 24219858 29809056 32293144 36329787 44713584 48439716 59618112 64586288 72659574 89427168 96879432 129172576 145319148 178854336 193758864 258345152 290638296 387517728 581276592 775035456 1162553184 2325106368