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2325306564 = 2232721969379
BaseRepresentation
bin1000101010011001…
…0101110011000100
320000001110210221100
42022212111303010
514230234302224
61022423220100
7111423531300
oct21246256304
96001423840
102325306564
11a93636269
1254a8a7630
132b0995a59
14180b78d00
15d921eac9
hex8a995cc4

2325306564 has 108 divisors (see below), whose sum is σ = 7197481200. Its totient is φ = 629397216.

The previous prime is 2325306553. The next prime is 2325306593. The reversal of 2325306564 is 4656035232.

2325306564 is a `hidden beast` number, since 2 + 3 + 2 + 530 + 65 + 64 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1174 + ... + 68205.

Almost surely, 22325306564 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 2325306564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598740600).

2325306564 is an abundant number, since it is smaller than the sum of its proper divisors (4872174636).

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

2325306564 is a wasteful number, since it uses less digits than its factorization.

2325306564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69422 (or 69410 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 2325306564 is about 48221.4326207756. The cubic root of 2325306564 is about 1324.8297517582.

The spelling of 2325306564 in words is "two billion, three hundred twenty-five million, three hundred six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 49 57 63 76 84 98 114 126 133 147 171 196 228 252 266 294 342 399 441 532 588 684 798 882 931 1197 1596 1764 1862 2394 2793 3724 4788 5586 8379 11172 16758 33516 69379 138758 208137 277516 416274 485653 624411 832548 971306 1248822 1318201 1456959 1942612 2497644 2636402 2913918 3399571 3954603 4370877 5272804 5827836 6799142 7909206 8741754 9227407 10198713 11863809 13598284 15818412 17483508 18454814 20397426 23727618 27682221 30596139 36909628 40794852 47455236 55364442 61192278 64591849 83046663 110728884 122384556 129183698 166093326 193775547 258367396 332186652 387551094 581326641 775102188 1162653282 2325306564