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2325003072 = 26374142193
BaseRepresentation
bin1000101010010100…
…1011101101000000
320000000220101121220
42022211023231000
514230200044242
61022412515040
7111421125420
oct21245135500
96000811556
102325003072
11a93449247
1254a77ba80
132b08ba882
14180ada480
15d91aebec
hex8a94bb40

2325003072 has 112 divisors (see below), whose sum is σ = 7202009472. Its totient is φ = 648069120.

The previous prime is 2325003067. The next prime is 2325003073. The reversal of 2325003072 is 2703005232.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2325003073) 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 15 ways as a sum of consecutive naturals, for example, 34008 + ... + 76200.

It is an arithmetic number, because the mean of its divisors is an integer number (64303656).

Almost surely, 22325003072 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 2325003072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3601004736).

2325003072 is an abundant number, since it is smaller than the sum of its proper divisors (4877006400).

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

2325003072 is a wasteful number, since it uses less digits than its factorization.

2325003072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42256 (or 42246 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 2325003072 is about 48218.2856601103. The cubic root of 2325003072 is about 1324.7721116559.

The spelling of 2325003072 in words is "two billion, three hundred twenty-five million, three thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 164 168 192 224 246 287 328 336 448 492 574 656 672 861 984 1148 1312 1344 1722 1968 2296 2624 3444 3936 4592 6888 7872 9184 13776 18368 27552 42193 55104 84386 126579 168772 253158 295351 337544 506316 590702 675088 886053 1012632 1181404 1350176 1729913 1772106 2025264 2362808 2700352 3459826 3544212 4050528 4725616 5189739 6919652 7088424 8101056 9451232 10379478 12109391 13839304 14176848 18902464 20758956 24218782 27678608 28353696 36328173 41517912 48437564 55357216 56707392 72656346 83035824 96875128 110714432 145312692 166071648 193750256 290625384 332143296 387500512 581250768 775001024 1162501536 2325003072