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2325653220 = 22351127712721
BaseRepresentation
bin1000101010011110…
…1010011011100100
320000002010102110110
42022213222123210
514230331400340
61022434453020
7111426504042
oct21247523344
96002112413
102325653220
11a93852760
1254aa34170
132b0a87787
14180c29392
15d928c680
hex8a9ea6e4

2325653220 has 96 divisors (see below), whose sum is σ = 7130019456. Its totient is φ = 561715200.

The previous prime is 2325653203. The next prime is 2325653221. The reversal of 2325653220 is 223565232.

2325653220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2325653221) 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, 176460 + ... + 189180.

It is an arithmetic number, because the mean of its divisors is an integer number (74271036).

Almost surely, 22325653220 is an apocalyptic number.

2325653220 is a gapful number since it is divisible by the number (20) 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 2325653220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3565009728).

2325653220 is an abundant number, since it is smaller than the sum of its proper divisors (4804366236).

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

2325653220 is a wasteful number, since it uses less digits than its factorization.

2325653220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13021 (or 13019 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 2325653220 is about 48225.0269051247. The cubic root of 2325653220 is about 1324.8955835600.

The spelling of 2325653220 in words is "two billion, three hundred twenty-five million, six hundred fifty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 277 330 554 660 831 1108 1385 1662 2770 3047 3324 4155 5540 6094 8310 9141 12188 12721 15235 16620 18282 25442 30470 36564 38163 45705 50884 60940 63605 76326 91410 127210 139931 152652 182820 190815 254420 279862 381630 419793 559724 699655 763260 839586 1399310 1679172 2098965 2798620 3523717 4197930 7047434 8395860 10571151 14094868 17618585 21142302 35237170 38760887 42284604 52855755 70474340 77521774 105711510 116282661 155043548 193804435 211423020 232565322 387608870 465130644 581413305 775217740 1162826610 2325653220