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2312210320 = 245719217313
BaseRepresentation
bin1000100111010001…
…1000011110010000
312222010211110021021
42021310120132100
514213411212240
61021234405224
7111204314650
oct21164303620
95863743237
102312210320
11a87200922
12546430814
132ab05bab4
1417d12a360
15d7ed454a
hex89d18790

2312210320 has 80 divisors (see below), whose sum is σ = 6467264640. Its totient is φ = 751030272.

The previous prime is 2312210317. The next prime is 2312210333. The reversal of 2312210320 is 230122132.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2312210294 and 2312210303.

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 15 ways as a sum of consecutive naturals, for example, 98017 + ... + 119296.

It is an arithmetic number, because the mean of its divisors is an integer number (80840808).

Almost surely, 22312210320 is an apocalyptic number.

2312210320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2312210320 is an abundant number, since it is smaller than the sum of its proper divisors (4155054320).

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

2312210320 is a wasteful number, since it uses less digits than its factorization.

2312210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217352 (or 217346 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2312210320 is about 48085.4481106291. The cubic root of 2312210320 is about 1322.3378984496.

Adding to 2312210320 its reverse (230122132), we get a palindrome (2542332452).

The spelling of 2312210320 in words is "two billion, three hundred twelve million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2128 2660 5320 10640 217313 434626 869252 1086565 1521191 1738504 2173130 3042382 3477008 4128947 4346260 6084764 7605955 8257894 8692520 12169528 15211910 16515788 17385040 20644735 24339056 28902629 30423820 33031576 41289470 57805258 60847640 66063152 82578940 115610516 121695280 144513145 165157880 231221032 289026290 330315760 462442064 578052580 1156105160 2312210320