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4422444220 = 225437097253
BaseRepresentation
bin1000001111001100…
…10010010010111100
3102102012121102222101
410013212102102330
533024121203340
62010500154444
7214410104245
oct40746222274
912365542871
104422444220
11196a399887
12a35098a24
135562c0acc
142dd4bbccc
151ad3bdc9a
hex1079924bc

4422444220 has 48 divisors (see below), whose sum is σ = 9517828320. Its totient is φ = 1725163776.

The previous prime is 4422444149. The next prime is 4422444227. The reversal of 4422444220 is 224442244.

It is a super-2 number, since 2×44224442202 = 39116025758022816800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4422444227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 606114 + ... + 613366.

It is an arithmetic number, because the mean of its divisors is an integer number (198288090).

Almost surely, 24422444220 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 4422444220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4758914160).

4422444220 is an abundant number, since it is smaller than the sum of its proper divisors (5095384100).

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

4422444220 is a wasteful number, since it uses less digits than its factorization.

4422444220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8014 (or 8012 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

The square root of 4422444220 is about 66501.4602847186. The cubic root of 4422444220 is about 1641.4240333120.

Adding to 4422444220 its reverse (224442244), we get a palindrome (4646886464).

It can be divided in two parts, 4 and 422444220, that added together give a palindrome (422444224).

The spelling of 4422444220 in words is "four billion, four hundred twenty-two million, four hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 709 860 1418 2836 3545 7090 7253 14180 14506 29012 30487 36265 60974 72530 121948 145060 152435 304870 311879 609740 623758 1247516 1559395 3118790 5142377 6237580 10284754 20569508 25711885 51423770 102847540 221122211 442244422 884488844 1105611055 2211222110 4422444220