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444433221 = 321094491009
BaseRepresentation
bin11010011111011…
…000001101000101
31010222021112202200
4122133120031011
51402233330341
6112033425113
714004422451
oct3237301505
91128245680
10444433221
11208964291
12104a0b199
13710cac4b
144304d661
152903ddb6
hex1a7d8345

444433221 has 24 divisors (see below), whose sum is σ = 649935000. Its totient is φ = 292626432.

The previous prime is 444433219. The next prime is 444433243. The reversal of 444433221 is 122334444.

It is a happy number.

444433221 is a `hidden beast` number, since 4 + 4 + 4 + 433 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 84382596 + 360050625 = 9186^2 + 18975^2 .

It is not a de Polignac number, because 444433221 - 21 = 444433219 is a prime.

It is a super-3 number, since 3×4444332213 (a number of 27 digits) contains 333 as substring.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444433201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 439965 + ... + 440973.

It is an arithmetic number, because the mean of its divisors is an integer number (27080625).

Almost surely, 2444433221 is an apocalyptic number.

It is an amenable number.

444433221 is a deficient number, since it is larger than the sum of its proper divisors (205501779).

444433221 is a wasteful number, since it uses less digits than its factorization.

444433221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1570 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 444433221 is about 21081.5848787514. The cubic root of 444433221 is about 763.1364044965.

Adding to 444433221 its reverse (122334444), we get a palindrome (566767665).

The spelling of 444433221 in words is "four hundred forty-four million, four hundred thirty-three thousand, two hundred twenty-one".

Divisors: 1 3 9 109 327 449 981 1009 1347 3027 4041 9081 48941 109981 146823 329943 440469 453041 989829 1359123 4077369 49381469 148144407 444433221