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440044220 = 225711793617
BaseRepresentation
bin11010001110101…
…000101010111100
31010200000120012002
4122032220222330
51400122403340
6111355401432
713622212520
oct3216505274
91120016162
10440044220
11206436810
12103453278
13702222c5
1442629d80
1528973715
hex1a3a8abc

440044220 has 96 divisors (see below), whose sum is σ = 1167022080. Its totient is φ = 135383040.

The previous prime is 440044193. The next prime is 440044249. The reversal of 440044220 is 22440044.

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 = 440044192 and 440044201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119852 + ... + 123468.

It is an arithmetic number, because the mean of its divisors is an integer number (12156480).

Almost surely, 2440044220 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 440044220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583511040).

440044220 is an abundant number, since it is smaller than the sum of its proper divisors (726977860).

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

440044220 is a wasteful number, since it uses less digits than its factorization.

440044220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3723 (or 3721 counting only the distinct ones).

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

The square root of 440044220 is about 20977.2309898137. The cubic root of 440044220 is about 760.6159710802.

Adding to 440044220 its reverse (22440044), we get a palindrome (462484264).

The spelling of 440044220 in words is "four hundred forty million, forty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 79 110 140 154 158 220 308 316 385 395 553 770 790 869 1106 1540 1580 1738 2212 2765 3476 3617 4345 5530 6083 7234 8690 11060 12166 14468 17380 18085 24332 25319 30415 36170 39787 50638 60830 72340 79574 101276 121660 126595 159148 198935 253190 278509 285743 397870 506380 557018 571486 795740 1114036 1142972 1392545 1428715 2000201 2785090 2857430 3143173 4000402 5570180 5714860 6286346 8000804 10001005 12572692 15715865 20002010 22002211 31431730 40004020 44004422 62863460 88008844 110011055 220022110 440044220