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2310225120 = 253257229189
BaseRepresentation
bin1000100110110011…
…0011110011100000
312222000002121002100
42021230303303200
514212404200440
61021124050400
7111151406130
oct21154636340
95860077070
102310225120
11a86075365
12545833a00
132aa815318
1417cb70ac0
15d7c41230
hex89b33ce0

2310225120 has 144 divisors (see below), whose sum is σ = 9009917280. Its totient is φ = 528049152.

The previous prime is 2310225119. The next prime is 2310225161. The reversal of 2310225120 is 215220132.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2310225093 and 2310225102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104515 + ... + 124674.

It is an arithmetic number, because the mean of its divisors is an integer number (62568870).

Almost surely, 22310225120 is an apocalyptic number.

2310225120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2310225120 is an abundant number, since it is smaller than the sum of its proper divisors (6699692160).

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

2310225120 is a wasteful number, since it uses less digits than its factorization.

2310225120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229217 (or 229206 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2310225120 is about 48064.8012583013. The cubic root of 2310225120 is about 1321.9593491436.

Adding to 2310225120 its reverse (215220132), we get a palindrome (2525445252).

The spelling of 2310225120 in words is "two billion, three hundred ten million, two hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 229189 458378 687567 916756 1145945 1375134 1604323 1833512 2062701 2291890 2750268 3208646 3437835 3667024 4125402 4583780 4812969 5500536 6417292 6875670 7334048 8021615 8250804 9167560 9625938 10313505 11001072 12834584 13751340 14438907 16043230 16501608 18335120 19251876 20627010 22002144 24064845 25669168 27502680 28877814 32086460 33003216 36670240 38503752 41254020 48129690 51338336 55005360 57755628 64172920 66006432 72194535 77007504 82508040 96259380 110010720 115511256 128345840 144389070 154015008 165016080 192518760 231022512 256691680 288778140 330032160 385037520 462045024 577556280 770075040 1155112560 2310225120