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2203370728 = 23131134332
BaseRepresentation
bin1000001101010100…
…1100010011101000
312200120000211102021
42003111030103220
514003030330403
61002345514224
7105413225236
oct20325142350
95616024367
102203370728
11a30822049
12515aa2974
13291641980
1416c8b7956
15cd6858bd
hex8354c4e8

2203370728 has 48 divisors (see below), whose sum is σ = 4498876620. Its totient is φ = 1005613056.

The previous prime is 2203370723. The next prime is 2203370759. The reversal of 2203370728 is 8270733022.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 70593604 + 2132777124 = 8402^2 + 46182^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2203370693 and 2203370702.

It is not an unprimeable number, because it can be changed into a prime (2203370723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5088400 + ... + 5088832.

Almost surely, 22203370728 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 2203370728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249438310).

2203370728 is an abundant number, since it is smaller than the sum of its proper divisors (2295505892).

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

2203370728 is a wasteful number, since it uses less digits than its factorization.

2203370728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 2203370728 is about 46940.0759266535. The cubic root of 2203370728 is about 1301.2553412393.

The spelling of 2203370728 in words is "two billion, two hundred three million, three hundred seventy thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 104 113 226 433 452 866 904 1469 1732 2938 3464 5629 5876 11258 11752 22516 45032 48929 97858 187489 195716 374978 391432 636077 749956 1272154 1499912 2437357 2544308 4874714 5088616 9749428 19498856 21186257 42372514 84745028 169490056 275421341 550842682 1101685364 2203370728