Search a number
-
+
442262244 = 2233141107271
BaseRepresentation
bin11010010111000…
…110001011100100
31010211012020202010
4122113012023210
51401204342434
6111515114220
713650111204
oct3227061344
91124166663
10442262244
11207711196
12104142970
137081aa48
1442a46404
1528c609e9
hex1a5c62e4

442262244 has 96 divisors (see below), whose sum is σ = 1105477632. Its totient is φ = 137376000.

The previous prime is 442262237. The next prime is 442262291.

442262244 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1631829 + ... + 1632099.

It is an arithmetic number, because the mean of its divisors is an integer number (11515392).

Almost surely, 2442262244 is an apocalyptic number.

It is an amenable number.

442262244 is an abundant number, since it is smaller than the sum of its proper divisors (663215388).

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

442262244 is a wasteful number, since it uses less digits than its factorization.

442262244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 455 counting only the distinct ones).

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

The square root of 442262244 is about 21030.0319543267. The cubic root of 442262244 is about 761.8917806372.

It can be divided in two parts, 4422 and 62244, that added together give a palindrome (66666).

The spelling of 442262244 in words is "four hundred forty-two million, two hundred sixty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 31 41 62 82 93 107 123 124 164 186 214 246 271 321 372 428 492 542 642 813 1084 1271 1284 1626 2542 3252 3317 3813 4387 5084 6634 7626 8401 8774 9951 11111 13161 13268 15252 16802 17548 19902 22222 25203 26322 28997 33333 33604 39804 44444 50406 52644 57994 66666 86991 100812 115988 133332 135997 173982 271994 344441 347964 407991 543988 688882 815982 898907 1033323 1188877 1377764 1631964 1797814 2066646 2377754 2696721 3566631 3595628 4133292 4755508 5393442 7133262 10786884 14266524 36855187 73710374 110565561 147420748 221131122 442262244