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2325564528 = 243743533037
BaseRepresentation
bin1000101010011101…
…0100110001110000
320000001221220210120
42022213110301300
514230321031103
61022432530240
7111425654340
oct21247246160
96001856716
102325564528
11a937a2061
1254a9b0980
132b0a562b1
14180c04d20
15d9271253
hex8a9d4c70

2325564528 has 160 divisors (see below), whose sum is σ = 7160541696. Its totient is φ = 636539904.

The previous prime is 2325564511. The next prime is 2325564529. The reversal of 2325564528 is 8254655232.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2325564528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2325564529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 764226 + ... + 767262.

Almost surely, 22325564528 is an apocalyptic number.

2325564528 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2325564528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580270848).

2325564528 is an abundant number, since it is smaller than the sum of its proper divisors (4834977168).

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

2325564528 is a wasteful number, since it uses less digits than its factorization.

2325564528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3151 (or 3145 counting only the distinct ones).

The product of its digits is 576000, while the sum is 42.

The square root of 2325564528 is about 48224.1073323291. The cubic root of 2325564528 is about 1324.8787411044.

The spelling of 2325564528 in words is "two billion, three hundred twenty-five million, five hundred sixty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 53 56 84 86 106 112 129 159 168 172 212 258 301 318 336 344 371 424 516 602 636 688 742 848 903 1032 1113 1204 1272 1484 1806 2064 2226 2279 2408 2544 2968 3037 3612 4452 4558 4816 5936 6074 6837 7224 8904 9111 9116 12148 13674 14448 15953 17808 18222 18232 21259 24296 27348 31906 36444 36464 42518 47859 48592 54696 63777 63812 72888 85036 95718 109392 127554 127624 130591 145776 160961 170072 191436 255108 255248 261182 321922 340144 382872 391773 482883 510216 522364 643844 765744 783546 914137 965766 1020432 1044728 1126727 1287688 1567092 1828274 1931532 2089456 2253454 2575376 2742411 3134184 3380181 3656548 3863064 4506908 5484822 6268368 6760362 6921323 7313096 7726128 9013816 10969644 13520724 13842646 14626192 18027632 20763969 21939288 27041448 27685292 41527938 43878576 48449261 54082896 55370584 83055876 96898522 110741168 145347783 166111752 193797044 290695566 332223504 387594088 581391132 775188176 1162782264 2325564528