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444224220 = 2235113718191
BaseRepresentation
bin11010011110100…
…101001011011100
31010221212221001220
4122132211023130
51402210133340
6112025133340
714002562226
oct3236451334
91127787056
10444224220
11208831260
1210492a250
1371056a8b
1442dd7416
1528eebed0
hex1a7a52dc

444224220 has 96 divisors (see below), whose sum is σ = 1393652736. Its totient is φ = 104774400.

The previous prime is 444224167. The next prime is 444224227. The reversal of 444224220 is 22422444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444224227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15325 + ... + 33515.

It is an arithmetic number, because the mean of its divisors is an integer number (14517216).

Almost surely, 2444224220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444224220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696826368).

444224220 is an abundant number, since it is smaller than the sum of its proper divisors (949428516).

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

444224220 is a wasteful number, since it uses less digits than its factorization.

444224220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18251 (or 18249 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 444224220 is about 21076.6273393064. The cubic root of 444224220 is about 763.0167605151.

Adding to 444224220 its reverse (22422444), we get a palindrome (466646664).

It can be divided in two parts, 444224 and 220, that added together give a palindrome (444444).

The spelling of 444224220 in words is "four hundred forty-four million, two hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 555 660 740 814 1110 1221 1628 2035 2220 2442 4070 4884 6105 8140 12210 18191 24420 36382 54573 72764 90955 109146 181910 200101 218292 272865 363820 400202 545730 600303 673067 800404 1000505 1091460 1200606 1346134 2001010 2019201 2401212 2692268 3001515 3365335 4002020 4038402 6003030 6730670 7403737 8076804 10096005 12006060 13461340 14807474 20192010 22211211 29614948 37018685 40384020 44422422 74037370 88844844 111056055 148074740 222112110 444224220