Search a number
-
+
442214132 = 2217193161181
BaseRepresentation
bin11010010110111…
…010011011110100
31010211002210202012
4122112322123310
51401201323012
6111514103352
713646521013
oct3226723364
91124083665
10442214132
11207689028
1210411ab58
1370801b89
1442a32a7a
1528c51622
hex1a5ba6f4

442214132 has 96 divisors (see below), whose sum is σ = 909941760. Its totient is φ = 186624000.

The previous prime is 442214131. The next prime is 442214161. The reversal of 442214132 is 231412244.

It is a junction number, because it is equal to n+sod(n) for n = 442214098 and 442214107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442214131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2443082 + ... + 2443262.

It is an arithmetic number, because the mean of its divisors is an integer number (9478560).

Almost surely, 2442214132 is an apocalyptic number.

It is an amenable number.

442214132 is an abundant number, since it is smaller than the sum of its proper divisors (467727628).

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

442214132 is a wasteful number, since it uses less digits than its factorization.

442214132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 311 counting only the distinct ones).

The product of its digits is 1536, while the sum is 23.

The square root of 442214132 is about 21028.8880352719. Note that the first 3 decimals coincide. The cubic root of 442214132 is about 761.8641518814.

Adding to 442214132 its reverse (231412244), we get a palindrome (673626376).

The spelling of 442214132 in words is "four hundred forty-two million, two hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 4 17 19 31 34 38 61 62 68 76 122 124 181 244 323 362 527 589 646 724 1037 1054 1159 1178 1292 1891 2074 2108 2318 2356 3077 3439 3782 4148 4636 5611 6154 6878 7564 10013 11041 11222 12308 13756 19703 20026 22082 22444 32147 35929 39406 40052 44164 58463 64294 71858 78812 95387 106609 116926 128588 143716 187697 190774 209779 213218 233852 342271 375394 381548 419558 426436 610793 684542 750788 839116 1221586 1369084 1812353 2443172 3566243 3624706 5818607 6503149 7132486 7249412 11637214 13006298 14264972 23274428 26012596 110553533 221107066 442214132