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2320466112 = 263210139887
BaseRepresentation
bin1000101001001111…
…1000000011000000
312222201100220002100
42022103320003000
514223014403422
61022131350400
7111334431216
oct21223700300
95881326070
102320466112
11a9092a598
12549152400
132ac98c793
14180278cb6
15d8ab57ac
hex8a4f80c0

2320466112 has 84 divisors (see below), whose sum is σ = 6717218976. Its totient is φ = 765811200.

The previous prime is 2320466101. The next prime is 2320466171. The reversal of 2320466112 is 2116640232.

2320466112 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 46 + 611 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38233 + ... + 78119.

Almost surely, 22320466112 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 2320466112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3358609488).

2320466112 is an abundant number, since it is smaller than the sum of its proper divisors (4396752864).

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

2320466112 is a wasteful number, since it uses less digits than its factorization.

2320466112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40006 (or 39993 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2320466112 is about 48171.2166340025. The cubic root of 2320466112 is about 1323.9098401258.

The spelling of 2320466112 in words is "two billion, three hundred twenty million, four hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 101 144 192 202 288 303 404 576 606 808 909 1212 1616 1818 2424 3232 3636 4848 6464 7272 9696 14544 19392 29088 39887 58176 79774 119661 159548 239322 319096 358983 478644 638192 717966 957288 1276384 1435932 1914576 2552768 2871864 3829152 4028587 5743728 7658304 8057174 11487456 12085761 16114348 22974912 24171522 32228696 36257283 48343044 64457392 72514566 96686088 128914784 145029132 193372176 257829568 290058264 386744352 580116528 773488704 1160233056 2320466112