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1422723840 = 2835477883
BaseRepresentation
bin101010011001101…
…0000101100000000
310200011002212012120
41110303100230000
510403204130330
6353101524240
750153644626
oct12463205400
93604085176
101422723840
116700aa52a
12338573680
131989a6935
14d6d49516
1584d82c10
hex54cd0b00

1422723840 has 144 divisors (see below), whose sum is σ = 4641090048. Its totient is φ = 371273728.

The previous prime is 1422723823. The next prime is 1422723851. The reversal of 1422723840 is 483272241.

It is a happy number.

1422723840 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 176539 + ... + 184421.

It is an arithmetic number, because the mean of its divisors is an integer number (32229792).

Almost surely, 21422723840 is an apocalyptic number.

1422723840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1422723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320545024).

1422723840 is an abundant number, since it is smaller than the sum of its proper divisors (3218366208).

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

1422723840 is an equidigital number, since it uses as much as digits as its factorization.

1422723840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7954 (or 7940 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 1422723840 is about 37719.0116519508. The cubic root of 1422723840 is about 1124.7090842843.

The spelling of 1422723840 in words is "one billion, four hundred twenty-two million, seven hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 128 141 160 188 192 235 240 256 282 320 376 384 470 480 564 640 705 752 768 940 960 1128 1280 1410 1504 1880 1920 2256 2820 3008 3760 3840 4512 5640 6016 7520 7883 9024 11280 12032 15040 15766 18048 22560 23649 30080 31532 36096 39415 45120 47298 60160 63064 78830 90240 94596 118245 126128 157660 180480 189192 236490 252256 315320 370501 378384 472980 504512 630640 741002 756768 945960 1009024 1111503 1261280 1482004 1513536 1852505 1891920 2018048 2223006 2522560 2964008 3027072 3705010 3783840 4446012 5045120 5557515 5928016 6054144 7410020 7567680 8892024 10090240 11115030 11856032 14820040 15135360 17784048 22230060 23712064 29640080 30270720 35568096 44460120 47424128 59280160 71136192 88920240 94848256 118560320 142272384 177840480 237120640 284544768 355680960 474241280 711361920 1422723840