Search a number
-
+
2202423400 = 235216367559
BaseRepresentation
bin1000001101000110…
…0101000001101000
312200111020200221001
42003101211001220
514002310022100
61002313324344
7105402201322
oct20321450150
95614220831
102202423400
11a30235331
125157066b4
1329139c718
1416c70c612
15cd549d6a
hex83465068

2202423400 has 48 divisors (see below), whose sum is σ = 5152125600. Its totient is φ = 875551680.

The previous prime is 2202423373. The next prime is 2202423401. The reversal of 2202423400 is 43242022.

It is not an unprimeable number, because it can be changed into a prime (2202423401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1180 + ... + 66379.

It is an arithmetic number, because the mean of its divisors is an integer number (107335950).

Almost surely, 22202423400 is an apocalyptic number.

2202423400 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 2202423400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576062800).

2202423400 is an abundant number, since it is smaller than the sum of its proper divisors (2949702200).

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

2202423400 is a wasteful number, since it uses less digits than its factorization.

2202423400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67738 (or 67729 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 2202423400 is about 46929.9840187486. The cubic root of 2202423400 is about 1301.0688251418.

Adding to 2202423400 its reverse (43242022), we get a palindrome (2245665422).

The spelling of 2202423400 in words is "two billion, two hundred two million, four hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 163 200 326 652 815 1304 1630 3260 4075 6520 8150 16300 32600 67559 135118 270236 337795 540472 675590 1351180 1688975 2702360 3377950 6755900 11012117 13511800 22024234 44048468 55060585 88096936 110121170 220242340 275302925 440484680 550605850 1101211700 2202423400