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2322130320 = 243253225181
BaseRepresentation
bin1000101001101000…
…1110010110010000
312222211111102221200
42022122032112100
514223431132240
61022231151200
7111354532146
oct21232162620
95884442850
102322130320
11a91866974
12549815500
132b0123113
1418058d596
15d8ce3930
hex8a68e590

2322130320 has 60 divisors (see below), whose sum is σ = 7798490076. Its totient is φ = 619234560.

The previous prime is 2322130273. The next prime is 2322130367. The reversal of 2322130320 is 230312232.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2322130273) and next prime (2322130367).

It can be written as a sum of positive squares in 2 ways, for example, as 966712464 + 1355417856 = 31092^2 + 36816^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 2322130293 and 2322130302.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1611871 + ... + 1613310.

Almost surely, 22322130320 is an apocalyptic number.

2322130320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2322130320 is an abundant number, since it is smaller than the sum of its proper divisors (5476359756).

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

2322130320 is a wasteful number, since it uses less digits than its factorization.

2322130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3225200 (or 3225191 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2322130320 is about 48188.4874217899. The cubic root of 2322130320 is about 1324.2262614443.

Adding to 2322130320 its reverse (230312232), we get a palindrome (2552442552).

The spelling of 2322130320 in words is "two billion, three hundred twenty-two million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 3225181 6450362 9675543 12900724 16125905 19351086 25801448 29026629 32251810 38702172 48377715 51602896 58053258 64503620 77404344 96755430 116106516 129007240 145133145 154808688 193510860 232213032 258014480 290266290 387021720 464426064 580532580 774043440 1161065160 2322130320