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242223401424 = 24347981710937
BaseRepresentation
bin1110000110010110100…
…0111100100111010000
3212011012222001201100210
43201211220330213100
512432033142321144
6303135332044120
723333343640464
oct3414550744720
9764188051323
10242223401424
11937a9882684
123ab40163640
1319ac2c07784
14ba1ba9c4a4
15647a24bab9
hex3865a3c9d0

242223401424 has 80 divisors (see below), whose sum is σ = 639181018368. Its totient is φ = 79007963136.

The previous prime is 242223401417. The next prime is 242223401473. The reversal of 242223401424 is 424104322242.

It is a happy number.

242223401424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 242223401391 and 242223401400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22141684 + ... + 22152620.

Almost surely, 2242223401424 is an apocalyptic number.

242223401424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242223401424 is an abundant number, since it is smaller than the sum of its proper divisors (396957616944).

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

242223401424 is a wasteful number, since it uses less digits than its factorization.

242223401424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20812 (or 20806 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 242223401424 its reverse (424104322242), we get a palindrome (666327723666).

The spelling of 242223401424 in words is "two hundred forty-two billion, two hundred twenty-three million, four hundred one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 9817 10937 19634 21874 29451 32811 39268 43748 58902 65622 78536 87496 117804 131244 157072 174992 235608 262488 461399 471216 514039 524976 922798 1028078 1384197 1542117 1845596 2056156 2768394 3084234 3691192 4112312 5536788 6168468 7382384 8224624 11073576 12336936 22147152 24673872 107368529 214737058 322105587 429474116 644211174 858948232 1288422348 1717896464 2576844696 5046320863 5153689392 10092641726 15138962589 20185283452 30277925178 40370566904 60555850356 80741133808 121111700712 242223401424