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4422338000 = 245314872
BaseRepresentation
bin1000001111001011…
…11000010111010000
3102102012102001021022
410013211320113100
533024104304000
62010454015012
7214406152463
oct40745702720
912365361238
104422338000
11196a326aa3
12a35047468
13556284662
142dd4912da
151ad39c585
hex1079785d0

4422338000 has 60 divisors (see below), whose sum is σ = 10700409252. Its totient is φ = 1767745600.

The previous prime is 4422337991. The next prime is 4422338003. The reversal of 4422338000 is 8332244.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 141514816 + 4280823184 = 11896^2 + 65428^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4422338003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2973257 + ... + 2974743.

Almost surely, 24422338000 is an apocalyptic number.

4422338000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4422338000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5350204626).

4422338000 is an abundant number, since it is smaller than the sum of its proper divisors (6278071252).

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

4422338000 is an frugal number, since it uses more digits than its factorization.

4422338000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 4422338000 is about 66500.6616508437. The cubic root of 4422338000 is about 1641.4108917513.

The spelling of 4422338000 in words is "four billion, four hundred twenty-two million, three hundred thirty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1487 2000 2974 5948 7435 11896 14870 23792 29740 37175 59480 74350 118960 148700 185875 297400 371750 594800 743500 1487000 2211169 2974000 4422338 8844676 11055845 17689352 22111690 35378704 44223380 55279225 88446760 110558450 176893520 221116900 276396125 442233800 552792250 884467600 1105584500 2211169000 4422338000