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2322468864 = 212322512
BaseRepresentation
bin1000101001101110…
…0001000000000000
312222212010122100100
42022123201000000
514224023000424
61022242322400
7111360442152
oct21233410000
95885118310
102322468864
11a91a78261
12549959400
132b0211241
1418063aad2
15d8d5ddc9
hex8a6e1000

2322468864 has 117 divisors (see below), whose sum is σ = 6735369199. Its totient is φ = 771072000.

The previous prime is 2322468847. The next prime is 2322468887. The reversal of 2322468864 is 4688642232.

The square root of 2322468864 is 48192.

It is a perfect power (a square), and thus also a powerful number.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

Its product of digits (884736) is a multiple of the sum of its prime divisors (256).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9252739 + ... + 9252989.

Almost surely, 22322468864 is an apocalyptic number.

2322468864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2322468864 is the 48192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2322468864

2322468864 is an abundant number, since it is smaller than the sum of its proper divisors (4412900335).

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

2322468864 is an frugal number, since it uses more digits than its factorization.

2322468864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 256 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The cubic root of 2322468864 is about 1324.2906114174.

The spelling of 2322468864 in words is "two billion, three hundred twenty-two million, four hundred sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 251 256 288 384 502 512 576 753 768 1004 1024 1152 1506 1536 2008 2048 2259 2304 3012 3072 4016 4096 4518 4608 6024 6144 8032 9036 9216 12048 12288 16064 18072 18432 24096 32128 36144 36864 48192 63001 64256 72288 96384 126002 128512 144576 189003 192768 252004 257024 289152 378006 385536 504008 514048 567009 578304 756012 771072 1008016 1028096 1134018 1156608 1512024 1542144 2016032 2268036 2313216 3024048 3084288 4032064 4536072 4626432 6048096 8064128 9072144 9252864 12096192 16128256 18144288 24192384 32256512 36288576 48384768 64513024 72577152 96769536 129026048 145154304 193539072 258052096 290308608 387078144 580617216 774156288 1161234432 2322468864