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242223044320 = 2551979678633
BaseRepresentation
bin1110000110010110011…
…1100101011011100000
3212011012221101120111201
43201211213211123200
512432033044404240
6303135320250544
723333340622405
oct3414547453340
9764187346451
10242223044320
11937a9659354
123ab40010a54
1319ac2b1107a
14ba1ba082ac
15647a1cad9a
hex38659e56e0

242223044320 has 48 divisors (see below), whose sum is σ = 602370473040. Its totient is φ = 91789784064.

The previous prime is 242223044281. The next prime is 242223044351. The reversal of 242223044320 is 23440322242.

It is a happy number.

242223044320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39836277 + ... + 39842356.

It is an arithmetic number, because the mean of its divisors is an integer number (12549384855).

Almost surely, 2242223044320 is an apocalyptic number.

242223044320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242223044320 is an abundant number, since it is smaller than the sum of its proper divisors (360147428720).

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

242223044320 is a wasteful number, since it uses less digits than its factorization.

242223044320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79678667 (or 79678659 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 242223044320 its reverse (23440322242), we get a palindrome (265663366562).

The spelling of 242223044320 in words is "two hundred forty-two billion, two hundred twenty-three million, forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 79678633 159357266 318714532 398393165 637429064 796786330 1274858128 1513894027 1593572660 2549716256 3027788054 3187145320 6055576108 6374290640 7569470135 12111152216 12748581280 15138940270 24222304432 30277880540 48444608864 60555761080 121111522160 242223044320