Search a number
-
+
2202435104 = 252311032713
BaseRepresentation
bin1000001101000110…
…0111111000100000
312200111021021222112
42003101213320200
514002310410404
61002313454452
7105402250412
oct20321477040
95614237875
102202435104
11a30243101
12515711428
132913a4b4c
1416c7129b2
15cd54d56e
hex83467e20

2202435104 has 48 divisors (see below), whose sum is σ = 4530339072. Its totient is φ = 1051995648.

The previous prime is 2202435097. The next prime is 2202435121. The reversal of 2202435104 is 4015342022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 2202435104.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 810452 + ... + 813164.

It is an arithmetic number, because the mean of its divisors is an integer number (94382064).

Almost surely, 22202435104 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 2202435104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265169536).

2202435104 is an abundant number, since it is smaller than the sum of its proper divisors (2327903968).

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

2202435104 is a wasteful number, since it uses less digits than its factorization.

2202435104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3849 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2202435104 is about 46930.1087149817. The cubic root of 2202435104 is about 1301.0711298277.

Adding to 2202435104 its reverse (4015342022), we get a palindrome (6217777126).

The spelling of 2202435104 in words is "two billion, two hundred two million, four hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 1103 2206 2713 4412 5426 8824 10852 17648 21704 25369 35296 43408 50738 62399 86816 101476 124798 202952 249596 405904 499192 811808 998384 1996768 2992439 5984878 11969756 23939512 47879024 68826097 95758048 137652194 275304388 550608776 1101217552 2202435104