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444020022 = 23397103823
BaseRepresentation
bin11010011101110…
…011010100110110
31010221111112222000
4122131303110312
51402132120042
6112020520130
714001052005
oct3235632466
91127445860
10444020022
112087018a6
12104850046
1370cb4b54
1442d82c3c
1528eab74c
hex1a773536

444020022 has 64 divisors (see below), whose sum is σ = 1007784960. Its totient is φ = 144882432.

The previous prime is 444020011. The next prime is 444020023. The reversal of 444020022 is 220020444.

444020022 is a `hidden beast` number, since 4 + 440 + 200 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 444019977 and 444020004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444020023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 539103 + ... + 539925.

It is an arithmetic number, because the mean of its divisors is an integer number (15746640).

Almost surely, 2444020022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444020022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503892480).

444020022 is an abundant number, since it is smaller than the sum of its proper divisors (563764938).

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

444020022 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (444020021) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1028).

444020022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 444020022 is about 21071.7826013843. The cubic root of 444020022 is about 762.8998297934.

Adding to 444020022 its reverse (220020444), we get a palindrome (664040466).

The spelling of 444020022 in words is "four hundred forty-four million, twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 97 103 194 206 291 309 582 618 823 873 927 1646 1746 1854 2469 2619 2781 4938 5238 5562 7407 9991 14814 19982 22221 29973 44442 59946 79831 84769 89919 159662 169538 179838 239493 254307 269757 478986 508614 539514 718479 762921 1436958 1525842 2155437 2288763 4310874 4577526 8222593 16445186 24667779 49335558 74003337 148006674 222010011 444020022