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444202220 = 2257112312541
BaseRepresentation
bin11010011110011…
…111110011101100
31010221211210220002
4122132133303230
51402203432340
6112024443432
714002441130
oct3236376354
91127753802
10444202220
11208816780
12104919578
1371049a67
1442dcd3c0
1528ee5715
hex1a79fcec

444202220 has 96 divisors (see below), whose sum is σ = 1213664256. Its totient is φ = 132422400.

The previous prime is 444202219. The next prime is 444202223. The reversal of 444202220 is 22202444.

It is a super-2 number, since 2×4442022202 = 394631224505856800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 444202192 and 444202201.

It is not an unprimeable number, because it can be changed into a prime (444202223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29150 + ... + 41690.

It is an arithmetic number, because the mean of its divisors is an integer number (12642336).

Almost surely, 2444202220 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 444202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606832128).

444202220 is an abundant number, since it is smaller than the sum of its proper divisors (769462036).

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

444202220 is a wasteful number, since it uses less digits than its factorization.

444202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12591 (or 12589 counting only the distinct ones).

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

The square root of 444202220 is about 21076.1054277113. The cubic root of 444202220 is about 763.0041642892.

Adding to 444202220 its reverse (22202444), we get a palindrome (466404664).

The spelling of 444202220 in words is "four hundred forty-four million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 23 28 35 44 46 55 70 77 92 110 115 140 154 161 220 230 253 308 322 385 460 506 644 770 805 1012 1265 1540 1610 1771 2530 3220 3542 5060 7084 8855 12541 17710 25082 35420 50164 62705 87787 125410 137951 175574 250820 275902 288443 351148 438935 551804 576886 689755 877870 965657 1153772 1379510 1442215 1755740 1931314 2019101 2759020 2884430 3172873 3862628 4038202 4828285 5768860 6345746 8076404 9656570 10095505 12691492 15864365 19313140 20191010 22210111 31728730 40382020 44420222 63457460 88840444 111050555 222101110 444202220