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444224 = 2611631
BaseRepresentation
bin1101100011101000000
3211120100202
41230131000
5103203344
613304332
73530054
oct1543500
9746322
10444224
11283830
121950a8
13127271
14b7c64
158b94e
hex6c740

444224 has 28 divisors (see below), whose sum is σ = 963168. Its totient is φ = 201600.

The previous prime is 444209. The next prime is 444253. The reversal of 444224 is 422444.

444224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 444196 and 444205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 389 + ... + 1019.

2444224 is an apocalyptic number.

444224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481584).

444224 is an abundant number, since it is smaller than the sum of its proper divisors (518944).

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

444224 is a wasteful number, since it uses less digits than its factorization.

444224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 644 counting only the distinct ones).

The product of its digits is 1024, while the sum is 20.

The square root of 444224 is about 666.5013128269. The cubic root of 444224 is about 76.3016634555.

Adding to 444224 its reverse (422444), we get a palindrome (866668).

The spelling of 444224 in words is "four hundred forty-four thousand, two hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 631 704 1262 2524 5048 6941 10096 13882 20192 27764 40384 55528 111056 222112 444224