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422666442 = 232115997373
BaseRepresentation
bin11001001100010…
…110000011001010
31002110022200100200
4121030112003022
51331200311232
6105535113030
713321414452
oct3114260312
91073280320
10422666442
111a7647610
12b9672776
13697495b3
14401c4d62
152718e77c
hex193160ca

422666442 has 96 divisors (see below), whose sum is σ = 1029188160. Its totient is φ = 124277760.

The previous prime is 422666389. The next prime is 422666449. The reversal of 422666442 is 244666224.

It is a junction number, because it is equal to n+sod(n) for n = 422666397 and 422666406.

It is not an unprimeable number, because it can be changed into a prime (422666449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1132968 + ... + 1133340.

It is an arithmetic number, because the mean of its divisors is an integer number (10720710).

Almost surely, 2422666442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422666442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514594080).

422666442 is an abundant number, since it is smaller than the sum of its proper divisors (606521718).

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

422666442 is a wasteful number, since it uses less digits than its factorization.

422666442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 545 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 422666442 is about 20558.8531294914. The cubic root of 422666442 is about 750.4687096873.

The spelling of 422666442 in words is "four hundred twenty-two million, six hundred sixty-six thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 59 66 97 99 118 177 194 198 291 354 373 531 582 649 746 873 1062 1067 1119 1298 1746 1947 2134 2238 3201 3357 3894 4103 5723 5841 6402 6714 8206 9603 11446 11682 12309 17169 19206 22007 24618 34338 36181 36927 44014 51507 62953 66021 72362 73854 103014 108543 125906 132042 188859 198063 217086 242077 325629 377718 396126 397991 484154 566577 651258 726231 795982 1133154 1193973 1452462 2134679 2178693 2387946 3581919 4269358 4357386 6404037 7163838 12808074 19212111 23481469 38424222 46962938 70444407 140888814 211333221 422666442