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444220 = 225719167
BaseRepresentation
bin1101100011100111100
3211120100121
41230130330
5103203340
613304324
73530050
oct1543474
9746317
10444220
11283827
121950a4
1312726a
14b7c60
158b94a
hex6c73c

444220 has 48 divisors (see below), whose sum is σ = 1128960. Its totient is φ = 143424.

The previous prime is 444209. The next prime is 444253. The reversal of 444220 is 22444.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 444194 and 444203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2577 + ... + 2743.

It is an arithmetic number, because the mean of its divisors is an integer number (23520).

2444220 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 444220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564480).

444220 is an abundant number, since it is smaller than the sum of its proper divisors (684740).

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

444220 is a wasteful number, since it uses less digits than its factorization.

444220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 444220 is about 666.4983120759. The cubic root of 444220 is about 76.3014344362.

Adding to 444220 its reverse (22444), we get a palindrome (466664).

The spelling of 444220 in words is "four hundred forty-four thousand, two hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 167 190 266 334 380 532 665 668 835 1169 1330 1670 2338 2660 3173 3340 4676 5845 6346 11690 12692 15865 22211 23380 31730 44422 63460 88844 111055 222110 444220