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2203920000 = 2732543061
BaseRepresentation
bin1000001101011101…
…0010011010000000
312200121001201212200
42003113102122000
514003200420000
61002405353200
7105421003512
oct20327223200
95617051780
102203920000
11a31067797
12516108800
132917a4999
1416c9bbbb2
15cd743500
hex835d2680

2203920000 has 240 divisors, whose sum is σ = 7927563930. Its totient is φ = 587520000.

The previous prime is 2203919987. The next prime is 2203920011. The reversal of 2203920000 is 293022.

It can be written as a sum of positive squares in 5 ways, for example, as 323136576 + 1880783424 = 17976^2 + 43368^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 718470 + ... + 721530.

Almost surely, 22203920000 is an apocalyptic number.

2203920000 is a gapful number since it is divisible by the number (20) 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 2203920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3963781965).

2203920000 is an abundant number, since it is smaller than the sum of its proper divisors (5723643930).

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

2203920000 is an equidigital number, since it uses as much as digits as its factorization.

2203920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3101 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2203920000 is about 46945.9263408445. The cubic root of 2203920000 is about 1301.3634609989.

The spelling of 2203920000 in words is "two billion, two hundred three million, nine hundred twenty thousand".