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242144322 = 237192379167
BaseRepresentation
bin11100110111011…
…01010001000010
3121212122012120020
432123231101002
5443442104242
640005554310
76000123060
oct1633552102
9555565506
10242144322
11114758682
1269115996
133b221b84
1424233030
15163d16ec
hexe6ed442

242144322 has 128 divisors (see below), whose sum is σ = 619315200. Its totient is φ = 61528896.

The previous prime is 242144291. The next prime is 242144359. The reversal of 242144322 is 223441242.

242144322 is digitally balanced in base 2, 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 = 242144292 and 242144301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1449883 + ... + 1450049.

It is an arithmetic number, because the mean of its divisors is an integer number (4838400).

Almost surely, 2242144322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242144322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309657600).

242144322 is an abundant number, since it is smaller than the sum of its proper divisors (377170878).

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

242144322 is a wasteful number, since it uses less digits than its factorization.

242144322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300.

The product of its digits is 3072, while the sum is 24.

The square root of 242144322 is about 15560.9871794819. The cubic root of 242144322 is about 623.2918237742.

Adding to 242144322 its reverse (223441242), we get a palindrome (465585564).

The spelling of 242144322 in words is "two hundred forty-two million, one hundred forty-four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 19 21 23 38 42 46 57 69 79 114 133 138 158 161 167 237 266 322 334 399 437 474 483 501 553 798 874 966 1002 1106 1169 1311 1501 1659 1817 2338 2622 3002 3059 3173 3318 3507 3634 3841 4503 5451 6118 6346 7014 7682 9006 9177 9519 10507 10902 11523 12719 13193 18354 19038 21014 22211 23046 25438 26386 26887 31521 34523 38157 39579 44422 53774 63042 66633 69046 72979 76314 79158 80661 92351 103569 133266 145958 161322 184702 207138 218937 241661 250667 277053 303439 437874 483322 501334 510853 554106 606878 724983 752001 910317 1021706 1449966 1504002 1532559 1754669 1820634 2124073 3065118 3509338 4248146 5264007 5765341 6372219 10528014 11530682 12744438 17296023 34592046 40357387 80714774 121072161 242144322