Search a number
-
+
442003221 = 321137671801
BaseRepresentation
bin11010010110000…
…110111100010101
31010210201002102200
4122112012330111
51401123100341
6111505355113
713644652062
oct3226067425
91123632380
10442003221
11207554620
12104038a99
1370759b8a
14429b9c69
1528c0ddb6
hex1a586f15

442003221 has 48 divisors (see below), whose sum is σ = 726393408. Its totient is φ = 256608000.

The previous prime is 442003189. The next prime is 442003231. The reversal of 442003221 is 122300244.

442003221 is a `hidden beast` number, since 442 + 0 + 0 + 3 + 221 = 666.

It is not a de Polignac number, because 442003221 - 25 = 442003189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 442003194 and 442003203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442003231) 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, 244521 + ... + 246321.

It is an arithmetic number, because the mean of its divisors is an integer number (15133196).

Almost surely, 2442003221 is an apocalyptic number.

It is an amenable number.

442003221 is a deficient number, since it is larger than the sum of its proper divisors (284390187).

442003221 is a wasteful number, since it uses less digits than its factorization.

442003221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 442003221 is about 21023.8726451622. The cubic root of 442003221 is about 761.7430106580.

Adding to 442003221 its reverse (122300244), we get a palindrome (564303465).

The spelling of 442003221 in words is "four hundred forty-two million, three thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 37 67 99 111 201 333 407 603 737 1221 1801 2211 2479 3663 5403 6633 7437 16209 19811 22311 27269 59433 66637 81807 120667 178299 199911 245421 362001 599733 733007 1086003 1327337 2199021 3982011 4464679 6597063 11946033 13394037 40182111 49111469 147334407 442003221